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Harmonic morphisms from homogeneous Hadamard manifolds

Gudmundsson, Sigmundur LU orcid 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
and
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
2016-04-01 13:34:08
date last changed
2022-01-27 19:53:02
@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}},
  keywords     = {{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}},
  doi          = {{10.1007/s10455-010-9229-x}},
  volume       = {{39}},
  year         = {{2011}},
}