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

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Sammanfattning

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.

Originalspråk	engelska
Sidor (från-till)	1-10
Tidskrift	Annals of Global Analysis and Geometry
Volym	45
Utgåva	1
DOI	https://doi.org/10.1007/s10455-013-9383-z
Status	Published - 2014

Ämnesklassifikation (UKÄ)

Matematik

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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.",

keywords = "Harmonic morphisms, Minimal submanifolds, Lie groups",

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

year = "2014",

doi = "10.1007/s10455-013-9383-z",

language = "English",

volume = "45",

pages = "1--10",

journal = "Annals of Global Analysis and Geometry",

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PY - 2014

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N2 - 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.

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

U2 - 10.1007/s10455-013-9383-z

DO - 10.1007/s10455-013-9383-z

M3 - Article

VL - 45

SP - 1

EP - 10

JO - Annals of Global Analysis and Geometry

JF - Annals of Global Analysis and Geometry

SN - 1572-9060

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

Sammanfattning

Ämnesklassifikation (UKÄ)

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