Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

On the existence of harmonic morphisms from certain symmetric spaces

Gudmundsson, Sigmundur LU orcid and Svensson, Martin LU (2007) In Journal of Geometry and Physics 57(2). p.353-366
Abstract
In this paper we give a positive answer to the open existence problem for complex-valued harmonic morphisms from the non-compact irreducible Riemannian symmetric spaces SLn (R)/SO(n), SU*(2n)/Sp(n) and their compact duals SU(n)/SO(n) and SU(2n)/Sp(n). Furthermore we prove the existence of globally defined, complex-valued harmonic morphisms from any Riemannian symmetric space of type IV.
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
minimal submanifolds, symmetric spaces, harmonic morphisms
in
Journal of Geometry and Physics
volume
57
issue
2
pages
353 - 366
publisher
Elsevier
external identifiers
  • wos:000242732700002
  • scopus:33750350408
ISSN
0393-0440
DOI
10.1016/j.geomphys.2006.03.008
language
English
LU publication?
yes
id
f586542d-ae25-4fd0-856c-224fecc9bd2b (old id 682478)
date added to LUP
2016-04-01 17:05:24
date last changed
2022-01-29 00:17:35
@article{f586542d-ae25-4fd0-856c-224fecc9bd2b,
  abstract     = {{In this paper we give a positive answer to the open existence problem for complex-valued harmonic morphisms from the non-compact irreducible Riemannian symmetric spaces SLn (R)/SO(n), SU*(2n)/Sp(n) and their compact duals SU(n)/SO(n) and SU(2n)/Sp(n). Furthermore we prove the existence of globally defined, complex-valued harmonic morphisms from any Riemannian symmetric space of type IV.}},
  author       = {{Gudmundsson, Sigmundur and Svensson, Martin}},
  issn         = {{0393-0440}},
  keywords     = {{minimal submanifolds; symmetric spaces; harmonic morphisms}},
  language     = {{eng}},
  number       = {{2}},
  pages        = {{353--366}},
  publisher    = {{Elsevier}},
  series       = {{Journal of Geometry and Physics}},
  title        = {{On the existence of harmonic morphisms from certain symmetric spaces}},
  url          = {{http://dx.doi.org/10.1016/j.geomphys.2006.03.008}},
  doi          = {{10.1016/j.geomphys.2006.03.008}},
  volume       = {{57}},
  year         = {{2007}},
}