Riemannian Lie groups with no left-invariant complex-valued harmonic morphisms

Jonas Nordström

doi:10.1007/s10455-013-9383-z

Riemannian Lie groups with no left-invariant complex-valued harmonic morphisms

Jonas Nordström

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

Abstract

We study left-invariant complex-valued harmonic morphisms from Riemannian
Lie groups. We show that in each dimension greater than 3 there exist Riemannian Lie groups that do not have any such solutions.

Original language	English
Pages (from-to)	1-10
Journal	Annals of Global Analysis and Geometry
Volume	45
Issue number	1
DOIs	https://doi.org/10.1007/s10455-013-9383-z
Publication status	Published - 2014

Subject classification (UKÄ)

Mathematics

Free keywords

Harmonic morphisms
Minimal submanifolds
Lie groups

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10.1007/s10455-013-9383-z

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title = "Riemannian Lie groups with no left-invariant complex-valued harmonic morphisms",

abstract = "We study left-invariant complex-valued harmonic morphisms from Riemannian Lie groups. We show that in each dimension greater than 3 there exist Riemannian Lie groups that do not have any such solutions.",

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AB - We study left-invariant complex-valued harmonic morphisms from Riemannian Lie groups. We show that in each dimension greater than 3 there exist Riemannian Lie groups that do not have any such solutions.

KW - Harmonic morphisms

KW - Minimal submanifolds

KW - Lie groups

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DO - 10.1007/s10455-013-9383-z

M3 - Article

SN - 1572-9060

VL - 45

SP - 1

EP - 10

JO - Annals of Global Analysis and Geometry

JF - Annals of Global Analysis and Geometry

IS - 1

ER -

Riemannian Lie groups with no left-invariant complex-valued harmonic morphisms

Abstract

Subject classification (UKÄ)

Free keywords

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