Harmonic morphisms from homogeneous Hadamard manifolds

Sigmundur Gudmundsson; Jonas Nordström

doi:10.1007/s10455-010-9229-x

Harmonic morphisms from homogeneous Hadamard manifolds

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Sammanfattning

We present a new method for manufacturing complex-valued harmonic
morphisms from a wide class of Riemannian Lie groups. This yields new
solutions from an important family of homogeneous Hadamard manifolds. We
also give a new method for constructing left-invariant foliations on a large class of Lie groups producing harmonic morphisms.

Originalspråk	engelska
Sidor (från-till)	215-230
Tidskrift	Annals of Global Analysis and Geometry
Volym	39
DOI	https://doi.org/10.1007/s10455-010-9229-x
Status	Published - 2011

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10.1007/s10455-010-9229-x

http://arxiv4.library.cornell.edu/PS_cache/arxiv/pdf/1004/1004.1082v1.pdf

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@article{b671a421eacc4406a0514cd3e8b2a586,

title = "Harmonic morphisms from homogeneous Hadamard manifolds",

abstract = "We present a new method for manufacturing complex-valued harmonic morphisms from a wide class of Riemannian Lie groups. This yields new solutions from an important family of homogeneous Hadamard manifolds. We also give a new method for constructing left-invariant foliations on a large class of Lie groups producing harmonic morphisms.",

keywords = "harmonic morphisms, minimal submanifolds, Lie groups",

author = "Sigmundur Gudmundsson and Jonas Nordstr{\"o}m",

year = "2011",

doi = "10.1007/s10455-010-9229-x",

language = "English",

volume = "39",

pages = "215--230",

journal = "Annals of Global Analysis and Geometry",

issn = "1572-9060",

publisher = "Springer",

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T1 - Harmonic morphisms from homogeneous Hadamard manifolds

AU - Gudmundsson, Sigmundur

AU - Nordström, Jonas

PY - 2011

Y1 - 2011

N2 - We present a new method for manufacturing complex-valued harmonic morphisms from a wide class of Riemannian Lie groups. This yields new solutions from an important family of homogeneous Hadamard manifolds. We also give a new method for constructing left-invariant foliations on a large class of Lie groups producing harmonic morphisms.

AB - We present a new method for manufacturing complex-valued harmonic morphisms from a wide class of Riemannian Lie groups. This yields new solutions from an important family of homogeneous Hadamard manifolds. We also give a new method for constructing left-invariant foliations on a large class of Lie groups producing harmonic morphisms.

KW - harmonic morphisms

KW - minimal submanifolds

KW - Lie groups

U2 - 10.1007/s10455-010-9229-x

DO - 10.1007/s10455-010-9229-x

M3 - Article

SN - 1572-9060

VL - 39

SP - 215

EP - 230

JO - Annals of Global Analysis and Geometry

JF - Annals of Global Analysis and Geometry

ER -

Harmonic morphisms from homogeneous Hadamard manifolds

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Ämnesklassifikation (UKÄ)

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