Harmonic morphisms from four-dimensional Lie groups

Sigmundur Gudmundsson; Martin Svensson

doi:10.1016/j.geomphys.2014.04.009

Harmonic morphisms from four-dimensional Lie groups

Forskningsoutput: Tidskriftsbidrag › Artikel i vetenskaplig tidskrift › Peer review

Sammanfattning

We consider 4-dimensional Lie groups with left-invariant Riemannian metrics. For such groups we classify left-invariant conformal foliations with minimal leaves of codimension 2. These foliations produce local complex-valued harmonic morphisms.

Originalspråk	engelska
Sidor (från-till)	1-11
Tidskrift	Journal of Geometry and Physics
Volym	83
DOI	https://doi.org/10.1016/j.geomphys.2014.04.009
Status	Published - 2014

Ämnesklassifikation (UKÄ)

Geometri

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10.1016/j.geomphys.2014.04.009

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@article{31e6a23853e14dbfb76e72827e33a98d,

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

abstract = "We consider 4-dimensional Lie groups with left-invariant Riemannian metrics. For such groups we classify left-invariant conformal foliations with minimal leaves of codimension 2. These foliations produce local complex-valued harmonic morphisms.",

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

author = "Sigmundur Gudmundsson and Martin Svensson",

year = "2014",

doi = "10.1016/j.geomphys.2014.04.009",

language = "English",

volume = "83",

pages = "1--11",

journal = "Journal of Geometry and Physics",

issn = "0393-0440",

publisher = "Elsevier",

}

TY - JOUR

T1 - Harmonic morphisms from four-dimensional Lie groups

AU - Gudmundsson, Sigmundur

AU - Svensson, Martin

PY - 2014

Y1 - 2014

N2 - We consider 4-dimensional Lie groups with left-invariant Riemannian metrics. For such groups we classify left-invariant conformal foliations with minimal leaves of codimension 2. These foliations produce local complex-valued harmonic morphisms.

AB - We consider 4-dimensional Lie groups with left-invariant Riemannian metrics. For such groups we classify left-invariant conformal foliations with minimal leaves of codimension 2. These foliations produce local complex-valued harmonic morphisms.

KW - harmonic morphisms

KW - minimal submanifolds

KW - Lie groups

U2 - 10.1016/j.geomphys.2014.04.009

DO - 10.1016/j.geomphys.2014.04.009

M3 - Article

SN - 0393-0440

VL - 83

SP - 1

EP - 11

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

ER -

Harmonic morphisms from four-dimensional Lie groups

Sammanfattning

Ämnesklassifikation (UKÄ)

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