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Harmonic morphisms from homogeneous Hadamard manifolds

Gudmundsson, Sigmundur LU and Nordström, Jonas LU (2011) In Annals of Global Analysis and Geometry 39. p.215-230
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.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
harmonic morphisms, minimal submanifolds, Lie groups
in
Annals of Global Analysis and Geometry
volume
39
pages
215 - 230
publisher
Springer
external identifiers
  • wos:000286827200001
  • scopus:79551507172
ISSN
1572-9060
DOI
10.1007/s10455-010-9229-x
language
English
LU publication?
yes
id
b671a421-eacc-4406-a051-4cd3e8b2a586 (old id 1580541)
alternative location
http://arxiv4.library.cornell.edu/PS_cache/arxiv/pdf/1004/1004.1082v1.pdf
date added to LUP
2010-04-09 12:42:51
date last changed
2017-04-16 03:49:24
@article{b671a421-eacc-4406-a051-4cd3e8b2a586,
  abstract     = {We present a new method for manufacturing complex-valued harmonic<br/><br>
morphisms from a wide class of Riemannian Lie groups. This yields new<br/><br>
solutions from an important family of homogeneous Hadamard manifolds. We<br/><br>
also give a new method for constructing left-invariant foliations on a large class of Lie groups producing harmonic morphisms.},
  author       = {Gudmundsson, Sigmundur and Nordström, Jonas},
  issn         = {1572-9060},
  keyword      = {harmonic morphisms,minimal submanifolds,Lie groups},
  language     = {eng},
  pages        = {215--230},
  publisher    = {Springer},
  series       = {Annals of Global Analysis and Geometry},
  title        = {Harmonic morphisms from homogeneous Hadamard manifolds},
  url          = {http://dx.doi.org/10.1007/s10455-010-9229-x},
  volume       = {39},
  year         = {2011},
}