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Curvature conditions for complex-valued harmonic morphisms

Nordström, Jonas LU (2015) In Differential Geometry and its Applications 42. p.44-53
Abstract
We study the curvature of manifolds which admit a complex-valued submersive harmonic morphism with either, totally geodesic fibers or that is holomorphic with respect to a complex structure which is compatible with the second fundamental form.



We also give a necessary curvature condition for the existence of complex-valued harmonic morphisms with totally geodesic fibers on Einstein manifolds.
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 morphism, Totally geodesic, Holomorphic
in
Differential Geometry and its Applications
volume
42
pages
44 - 53
publisher
North-Holland
external identifiers
  • wos:000364263500005
  • scopus:84938096492
ISSN
1872-6984
DOI
10.1016/j.difgeo.2015.07.004
language
English
LU publication?
yes
id
62102184-163f-4715-8043-1d4fe6ed81d3 (old id 7856094)
date added to LUP
2015-09-09 12:21:14
date last changed
2017-03-16 13:16:10
@article{62102184-163f-4715-8043-1d4fe6ed81d3,
  abstract     = {We study the curvature of manifolds which admit a complex-valued submersive harmonic morphism with either, totally geodesic fibers or that is holomorphic with respect to a complex structure which is compatible with the second fundamental form.<br/><br>
<br/><br>
We also give a necessary curvature condition for the existence of complex-valued harmonic morphisms with totally geodesic fibers on Einstein manifolds.},
  author       = {Nordström, Jonas},
  issn         = {1872-6984},
  keyword      = {Harmonic morphism,Totally geodesic,Holomorphic},
  language     = {eng},
  pages        = {44--53},
  publisher    = {North-Holland},
  series       = {Differential Geometry and its Applications},
  title        = {Curvature conditions for complex-valued harmonic morphisms},
  url          = {http://dx.doi.org/10.1016/j.difgeo.2015.07.004},
  volume       = {42},
  year         = {2015},
}