Harmonic morphisms from homogeneous Hadamard manifolds
(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:
https://lup.lub.lu.se/record/1580541
- author
- Gudmundsson, Sigmundur
LU
and Nordström, Jonas LU
- organization
- publishing date
- 2011
- 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}}, }