Harmonic morphisms from five-dimensional Lie groups

Sigmundur Gudmundsson

doi:10.1007/s10711-016-0162-4

Harmonic morphisms from five-dimensional Lie groups

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Sammanfattning

We consider 5-dimensional Lie groups equipped with a left-invariant Riemannian metric. On such groups we construct left-invariant conformal foliations with minimal leaves of codimension 2. These foliations produce complex-valued harmonic morphisms locally defined on the Lie group.

Originalspråk	engelska
Sidor (från-till)	143-157
Tidskrift	Geometriae Dedicata
Volym	184
Nummer	1
DOI	https://doi.org/10.1007/s10711-016-0162-4
Status	Published - 2016

Ämnesklassifikation (UKÄ)

Geometri

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10.1007/s10711-016-0162-4

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title = "Harmonic morphisms from five-dimensional Lie groups",

abstract = "We consider 5-dimensional Lie groups equipped with a left-invariant Riemannian metric. On such groups we construct left-invariant conformal foliations with minimal leaves of codimension 2. These foliations produce complex-valued harmonic morphisms locally defined on the Lie group.",

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

author = "Sigmundur Gudmundsson",

year = "2016",

doi = "10.1007/s10711-016-0162-4",

language = "English",

volume = "184",

pages = "143--157",

journal = "Geometriae Dedicata",

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T1 - Harmonic morphisms from five-dimensional Lie groups

AU - Gudmundsson, Sigmundur

PY - 2016

Y1 - 2016

N2 - We consider 5-dimensional Lie groups equipped with a left-invariant Riemannian metric. On such groups we construct left-invariant conformal foliations with minimal leaves of codimension 2. These foliations produce complex-valued harmonic morphisms locally defined on the Lie group.

AB - We consider 5-dimensional Lie groups equipped with a left-invariant Riemannian metric. On such groups we construct left-invariant conformal foliations with minimal leaves of codimension 2. These foliations produce complex-valued harmonic morphisms locally defined on the Lie group.

KW - harmonic morphisms, minimal submanifolds, Lie groups

U2 - 10.1007/s10711-016-0162-4

DO - 10.1007/s10711-016-0162-4

M3 - Article

SN - 0046-5755

VL - 184

SP - 143

EP - 157

JO - Geometriae Dedicata

JF - Geometriae Dedicata

IS - 1

ER -

Harmonic morphisms from five-dimensional Lie groups

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