Sigmundur Gudmundsson

Search results

• 2024

  Harmonic morphisms on Lie groups and minimal conformal foliations of codimension two

  Gudmundsson, S. & Munn, T. J., 2024 Apr, In: Journal of Geometry and Physics. 198, 105130.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Lie Group 100%
  • Left Invariant 100%
  • Harmonic Morphism 100%
  • Codimension 100%
  • Subgroup 50%

• An Introduction to Gaussian Geometry - Lecture Notes in Mathematics

  Gudmundsson, S., 2024, Lund University. 85 p.

  Research output: Book/Report › Book › Research

• An Introduction to Riemannian Geometry - Lecture Notes in Mathematics

  Gudmundsson, S., 2024, Lund University. 141 p.

  Research output: Book/Report › Book › Research

• Compact Minimal Submanifolds of the Riemannian Symmetric Spaces SU(n)/SO(n), Sp(n)/U(n), SO(2n)/U(n), SU(2n)/Sp(n) via Complex-Valued Eigenfunctions

  Gegenfurtner, J. M. & Gudmundsson, S., 2024, In: Annals of Global Analysis and Geometry. 66, 3, 13.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Submanifold 100%
  • Riemannian Symmetric Space 100%
  • Codimension 50%

• Minimal submanifolds via complex-valued eigenfunctions

  Gudmundsson, S. & Munn, T., 2024, In: Journal of Geometric Analysis. 34, 6, 22 p., 190.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Eigenfunction 100%
  • Submanifold 100%
  • Manifold 50%
  • Codimension 50%
  • Riemannian Manifolds 50%
• 2023

  Explicit harmonic morphisms and p-harmonic functions from the complex and quaternionic Grassmannians

  Gudmundsson, S. & Ghandour, E., 2023 Aug 24, In: Annals of Global Analysis and Geometry. 64, 2, 18 p., 15.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Harmonic Function 100%
  • Harmonic Morphism 100%
  • Operators 33%
  • Eigenfunction 33%
  • Dual Space 33%

• Explicit p-harmonic functions on the real Grassmannians

  Ghandour, E. & Gudmundsson, S., 2023, In: Advances in Geometry.

  Research output: Contribution to journal › Article › peer-review

  • Harmonic Function 100%
  • Manifold 33%

• Natural almost Hermitian structures on conformally foliated 4-dimensional Lie groups with minimal leaves

  Andersdotter Svensson, E. & Gudmundsson, S., 2023, In: Rendiconti del Circolo Matematico di Palermo. 72, p. 2265–2286 22 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Lie Group 100%
  • Hermitian Structure 100%
  • Class 50%
  • Left Invariant 50%

• Proper biharmonic maps and (2,1) -harmonic morphisms from some wild geometries

  Ghandour, E. & Gudmundsson, S., 2023, In: Rendiconti del Circolo Matematico di Palermo. 72, 8, p. 4101-4114

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Geometry 100%
  • Harmonic Morphism 100%
  • Biharmonic Map 100%
  • Manifold 50%
  • Nonlinear System 50%
• 2022

  Conformal minimal foliations on semi-Riemannian Lie groups

  Gudmundsson, S., Ghandour, E. & Ottosson, V., 2022, In: Journal of Geometry and Symmetry in Physics. 63, p. 1-20

  Research output: Contribution to journal › Article › peer-review

  • Lie Group 100%
  • Subgroup 50%
  • Left Invariant 25%
  • Harmonic Morphism 25%
  • Codimension 25%

• Explicit proper p-harmonic functions on the Riemannian symmetric spaces SU(n)/SO(n), Sp(n)/U(n), SO(2n)/U(n), SU(2n)/Sp(n)

  Gudmundsson, S., Siffert, A. & Sobak, M., 2022, In: Journal of Geometric Analysis. 32, 16 p., 147.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Harmonic Function 100%
  • Riemannian Symmetric Space 100%
  • Dual Space 50%
• 2021

  Complex-valued (p,q)-harmonic morphisms from Riemannian manifolds

  Gudmundsson, S. & Ghandour, E., 2021, In: Journal of Geometric Analysis. 31, 11, p. 11386-11409

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Harmonic Morphism 100%
  • Riemannian Manifolds 100%

• Conformal foliations on Lie groups and complex-valued harmonic morphisms

  Gudmundsson, S., Ghandour, E. & Turner, T., 2021, In: Journal of Geometry and Physics. 159, 11 p., 103940.

  Research output: Contribution to journal › Article › peer-review

  • Lie Group 100%
  • Harmonic Morphism 100%
  • Subgroup 50%
  • Left Invariant 25%
  • Codimension 25%

• Explicit p-harmonic functions on rank-one Lie groups of Iwasawa type

  Gudmundsson, S., Siffert, A. & Sobak, M., 2021, In: Journal of Geometry and Physics. 164, 16 p., 104205.

  Research output: Contribution to journal › Article › peer-review

  • Harmonic Function 100%
  • Lie Group 100%
  • Class 33%
  • Riemannian Manifolds 33%
  • Symmetric Space 33%

• New biharmonic functions on the compact Lie groups SO(n), SU(n), Sp(n)

  Gudmundsson, S. & Siffert, A., 2021, In: Journal of Geometric Analysis. 31, 1, p. 250–281 32 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Compact Lie Group 100%
  • Unitary Group 100%
  • Lie Group 50%
  • Harmonic Morphism 50%
  • Open Subset 50%
• 2020

  r-Harmonic and complex isoparametric functions on the Lie groups R^m⋉Rⁿ and R^m⋉H²ⁿ⁺¹

  Gudmundsson, S. & Sobak, M., 2020 Nov 1, In: Annals of Global Analysis and Geometry. 58, 4, p. 477-496 20 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Lie Group 100%
  • Harmonic Function 66%
  • General Method 33%
  • Riemannian Manifolds 33%
  • Irreducibles 33%

• Proper r-harmonic functions on the Thurston geometries

  Gudmundsson, S. & Siffert, A., 2020 Aug, In: Journal of Geometry and Physics. 154, 12 p., 103729.

  Research output: Contribution to journal › Article › peer-review

  • Geometry 100%
  • Harmonic Function 100%
  • Natural Number 50%
  • Nil 50%

• Proper r-harmonic functions from Riemannian manifolds

  Gudmundsson, S. & Sobak, M., 2020, In: Annals of Global Analysis and Geometry. 57, p. 217-223

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Harmonic Function 100%
  • Riemannian Manifolds 100%
  • Lie Group 50%
  • Semisimple 50%
• 2018

  A note on biharmonic functions on the Thurston geometries

  Gudmundsson, S., 2018, In: Journal of Geometry and Physics. 131, p. 114-121 8 p.

  Research output: Contribution to journal › Article › peer-review

  • Nil 100%

• Biharmonic functions on spheres and hyperbolic spaces

  Gudmundsson, S., 2018, In: Journal of Geometry and Physics. 134, p. 244-248 5 p.

  Research output: Contribution to journal › Article › peer-review

  • Sphere 100%
  • Hyperbolic Space 100%
  • Harmonic Function 50%

• Biharmonic functions on the classical compact simple Lie groups

  Gudmundsson, S., Montaldo, S. & Ratto, A., 2018, In: Journal of Geometric Analysis. 28, 2, p. 1525–1547 23 p.

  Research output: Contribution to journal › Article › peer-review

  • Lie Group 100%
  • Sphere 50%
  • Harmonic Morphism 50%
  • Hyperbolic Space 50%
  • Open Subset 50%
• 2017

  Biharmonic functions on the special unitary group SU(2)

  Gudmundsson, S., 2017, In: Differential Geometry and its Applications. 53, p. 137-147 11 p.

  Research output: Contribution to journal › Article › peer-review

  • Unitary Group 100%
  • Hyperbolic Space 50%
  • Open Subset 50%
• 2016

  Complete minimal submanifolds of compact Lie groups

  Gudmundsson, S., Svensson, M. & Ville, M., 2016, In: Mathematische Zeitschrift. 282, p. 993-1005 13 p.

  Research output: Contribution to journal › Article › peer-review

  • Compact Lie Group 100%
  • Submanifold 100%
  • Unitary Group 50%
  • Representation Theory 50%
  • Quotient Space 50%

• Harmonic morphisms from five-dimensional Lie groups

  Gudmundsson, S., 2016, In: Geometriae Dedicata. 184, 1, p. 143-157

  Research output: Contribution to journal › Article › peer-review

  • Lie Group 100%
  • Harmonic Morphism 100%
  • Left Invariant 66%
  • Codimension 33%
• 2015

  Finite Fields and Error-Correcting Codes - Lecture Notes in Mathematics

  Gudmundsson, S. (Translator) & Andersson, K. G., 2015, Lund University.

  Research output: Other contribution › Miscellaneous › Research

• Holomorphic harmonic morphisms from cosymplectic almost Hermitian manifolds

  Gudmundsson, S., 2015, In: Geometriae Dedicata. 178, 1, p. 143-150

  Research output: Contribution to journal › Article › peer-review

  • Hermitian Structure 100%
  • Harmonic Morphism 100%
  • Codimension 100%

• Holomorphic harmonic morphisms from four-dimensional non-Einstein manifolds

  Gudmundsson, S., 2015, In: International Journal of Mathematics. 26, 1, 1550006.

  Research output: Contribution to journal › Article › peer-review

  • Einstein Manifold 100%
  • Harmonic Morphism 100%
  • Hermitian Structure 50%
  • Left Invariant 50%
  • Codimension 50%
• 2014

  Biharmonic maps into a Riemannian manifold of non-positive curvature

  Nakauchi, N., Urakawa, H. & Gudmundsson, S., 2014, In: Geometriae Dedicata. 169, p. 263-272

  Research output: Contribution to journal › Article › peer-review

  • Riemannian Manifolds 100%
  • Biharmonic Map 100%
  • Positive Curvature 100%
  • Isometric Immersion 50%
  • Submersion 50%

• Harmonic morphisms from four-dimensional Lie groups

  Gudmundsson, S. & Svensson, M., 2014, In: Journal of Geometry and Physics. 83, p. 1-11

  Research output: Contribution to journal › Article › peer-review

  • Lie Group 100%
  • Left Invariant 100%
  • Harmonic Morphism 100%
  • Codimension 50%

• Harmonic morphisms from homogeneous spaces of positive curvature

  Gudmundsson, S. & Svensson, M., 2014, In: Mathematical Proceedings of the Cambridge Philosophical Society. 157, 2, p. 321-327

  Research output: Contribution to journal › Article › peer-review

  • Harmonic Morphism 100%
  • Positive Curvature 100%
  • Homogeneous Space 100%
• 2011

  Harmonic morphisms from homogeneous Hadamard manifolds

  Gudmundsson, S. & Nordström, J., 2011, In: Annals of Global Analysis and Geometry. 39, p. 215-230

  Research output: Contribution to journal › Article › peer-review

  • Manifold 100%
  • Lie Group 100%
  • Harmonic Morphism 100%
  • Class 50%
  • Left Invariant 50%

• On the existence of harmonic morphisms from three dimensional Lie groups

  Gudmundsson, S. & Svensson, M., 2011, In: Contemporary Mathematics. 542, p. 279-284

  Research output: Contribution to journal › Article › peer-review

  • Lie Group 100%
  • Harmonic Morphism 100%
• 2009

  Harmonic morphisms from solvable Lie groups

  Gudmundsson, S. & Svensson, M., 2009, In: Mathematical Proceedings of the Cambridge Philosophical Society. 147, 2, p. 389-408

  Research output: Contribution to journal › Article › peer-review

  • Harmonic Morphism 100%
  • Global Solution 66%
  • Riemannian Symmetric Space 66%
  • Lie Group 33%
  • Nilpotent 33%

• Harmonic morphisms from the classical non-compact semisimple Lie groups

  Gudmundsson, S. & Sakovich, A., 2009, In: Differential Geometry and its Applications. 27, 1, p. 47-63

  Research output: Contribution to journal › Article › peer-review

  • Lie Group 100%
  • Harmonic Morphism 100%
  • Semisimple 100%
  • Compact Lie Group 66%
• 2008

  Harmonic morphisms from the classical compact semisimple Lie groups

  Gudmundsson, S. & Sakovich, A., 2008, In: Annals of Global Analysis and Geometry. 33, 4, p. 343-356

  Research output: Contribution to journal › Article › peer-review

  • Lie Group 100%
  • Harmonic Morphism 100%
  • Semisimple 100%
  • Compact Lie Group 66%
  • Riemannian Manifolds 33%
• 2007

  On the existence of harmonic morphisms from certain symmetric spaces

  Gudmundsson, S. & Svensson, M., 2007, In: Journal of Geometry and Physics. 57, 2, p. 353-366

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Harmonic Morphism 100%
  • Riemannian Symmetric Space 66%
  • Irreducibles 33%
• 2006

  Harmonic morphisms between Riemannian manifolds

  Gudmundsson, S. & Svensson, M., 2006, In: Bulletin of the London Mathematical Society. p. 869-872

  Research output: Contribution to journal › Review (Book/Film/Exhibition/etc.)

• Harmonic morphisms from the compact semisimple Lie groups and their non-compact duals

  Gudmundsson, S. & Svensson, M., 2006, In: Differential Geometry and its Applications. 24, 4, p. 351-366

  Research output: Contribution to journal › Article › peer-review

  • Semisimple 100%
  • Local Existence 33%
  • Riemannian Symmetric Space 33%

• Harmonic morphisms from the Grassmannians and their non-compact duals

  Gudmundsson, S. & Svensson, M., 2006, In: Annals of Global Analysis and Geometry. 30, 4, p. 313-333

  Research output: Contribution to journal › Article › peer-review

  • Harmonic Morphism 100%
• 2004

  On the geometry of the Gauss map of conformal foliations by lines

  Burel, J.-M. & Gudmundsson, S., 2004, In: Mathematical Proceedings of the Cambridge Philosophical Society. 136, p. 247-255

  Research output: Contribution to journal › Article › peer-review

  • Geometry 100%
  • Constant 50%
  • Harmonic Morphism 50%
  • Greater than or equal to 50%
• 2002

  On the geometry of tangent bundles

  Gudmundsson, S. & Kappos, E., 2002, In: Expositiones Mathematicae. 20, 1, p. 1-41

  Research output: Contribution to journal › Article › peer-review

• On the geometry of the tangent bundle with the Cheeger-Gromoll metric

  Gudmundsson, S. & Kappos, E., 2002, In: Tokyo Journal of Mathematics. 25, p. 75-83

  Research output: Contribution to journal › Article › peer-review
• 1999

  Harmonic morphisms as unit normal bundles of minimal surfaces

  Gudmundsson, S. & Mo, X., 1999, In: Manuscripta Matematica. 100, 3, p. 323-333

  Research output: Contribution to journal › Article › peer-review
• 1997

  Harmonic morphisms as sphere bundles over compact Riemann surfaces

  Gudmundsson, S., 1997, In: International Journal of Mathematics. 8, 7, p. 935-942

  Research output: Contribution to journal › Article › peer-review

  • Sphere 100%
  • Harmonic Morphism 100%
  • Riemann Surface 100%
  • Totally Geodesic Fiber 50%

• Harmonic morphisms between almost Hermitian manifolds

  Gudmundsson, S. & Wood, J. C., 1997, In: Bollettino della Unione Matematica Italiana B. 11 (Ser. VII), 2, suppl., p. 185-197

  Research output: Contribution to journal › Article › peer-review

• On the existence of harmonic morphisms from symmetric spaces of rank one

  Gudmundsson, S., 1997, In: Manuscripta Mathematica. 93, 4, p. 421-433

  Research output: Contribution to journal › Article › peer-review

  • Harmonic Morphism 100%
  • Irreducibles 50%
  • Riemannian Symmetric Space 50%
  • Global Existence 50%
• 1996

  Minimal submanifolds of hyperbolic spaces via harmonic morphisms

  Gudmundsson, S., 1996, In: Geometriae Dedicata. 62, 3, p. 269-279

  Research output: Contribution to journal › Article › peer-review

  • Harmonic Morphism 100%
  • Submanifold 100%
  • Hyperbolic Space 100%
  • Complete 50%
  • Riemann Surface 50%
• 1995

  Harmonic morphisms from quaternionic projective spaces

  Gudmundsson, S., 1995, In: Geometriae Dedicata. 56, 3, p. 327-332

  Research output: Contribution to journal › Article › peer-review

  • Harmonic Morphism 100%
  • Riemann Surface 50%
• 1994

  Harmonic morphisms from complex projective spaces

  Gudmundsson, S., 1994, In: Geometriae Dedicata. 53, 2, p. 155-161

  Research output: Contribution to journal › Article › peer-review

  • Harmonic Morphism 100%
  • Open Subset 50%
  • Riemann Surface 50%

• Non-holomorphic harmonic morphisms from Kähler manifolds

  Gudmundsson, S., 1994, In: Manuscripta Mathematica. 85, 1, p. 67-78

  Research output: Contribution to journal › Article › peer-review

  • Manifold 100%
  • Harmonic Morphism 100%