Curvature conditions for complex-valued harmonic morphisms

Jonas Nordström

doi:10.1016/j.difgeo.2015.07.004

Curvature conditions for complex-valued harmonic morphisms

Jonas Nordström

Forskningsoutput: Tidskriftsbidrag › Artikel i vetenskaplig tidskrift › Peer review

Sammanfattning

We study the curvature of manifolds which admit a complex-valued submersive harmonic morphism with either, totally geodesic fibers or that is holomorphic with respect to a complex structure which is compatible with the second fundamental form.

We also give a necessary curvature condition for the existence of complex-valued harmonic morphisms with totally geodesic fibers on Einstein manifolds.

Originalspråk	engelska
Sidor (från-till)	44-53
Tidskrift	Differential Geometry and its Applications
Volym	42
DOI	https://doi.org/10.1016/j.difgeo.2015.07.004
Status	Published - 2015

Ämnesklassifikation (UKÄ)

Geometri

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10.1016/j.difgeo.2015.07.004

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title = "Curvature conditions for complex-valued harmonic morphisms",

abstract = "We study the curvature of manifolds which admit a complex-valued submersive harmonic morphism with either, totally geodesic fibers or that is holomorphic with respect to a complex structure which is compatible with the second fundamental form. We also give a necessary curvature condition for the existence of complex-valued harmonic morphisms with totally geodesic fibers on Einstein manifolds.",

keywords = "Harmonic morphism, Totally geodesic, Holomorphic",

author = "Jonas Nordstr{\"o}m",

year = "2015",

doi = "10.1016/j.difgeo.2015.07.004",

language = "English",

volume = "42",

pages = "44--53",

journal = "Differential Geometry and its Applications",

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publisher = "North-Holland",

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TY - JOUR

T1 - Curvature conditions for complex-valued harmonic morphisms

AU - Nordström, Jonas

PY - 2015

Y1 - 2015

N2 - We study the curvature of manifolds which admit a complex-valued submersive harmonic morphism with either, totally geodesic fibers or that is holomorphic with respect to a complex structure which is compatible with the second fundamental form. We also give a necessary curvature condition for the existence of complex-valued harmonic morphisms with totally geodesic fibers on Einstein manifolds.

AB - We study the curvature of manifolds which admit a complex-valued submersive harmonic morphism with either, totally geodesic fibers or that is holomorphic with respect to a complex structure which is compatible with the second fundamental form. We also give a necessary curvature condition for the existence of complex-valued harmonic morphisms with totally geodesic fibers on Einstein manifolds.

KW - Harmonic morphism

KW - Totally geodesic

KW - Holomorphic

UR - https://www.scopus.com/pages/publications/84938096492

U2 - 10.1016/j.difgeo.2015.07.004

DO - 10.1016/j.difgeo.2015.07.004

M3 - Article

SN - 1872-6984

VL - 42

SP - 44

EP - 53

JO - Differential Geometry and its Applications

JF - Differential Geometry and its Applications

ER -

Curvature conditions for complex-valued harmonic morphisms

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