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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
2016-04-01 10:09:17
date last changed
2025-10-14 12:54:25
@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}},
  keywords     = {{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}},
  doi          = {{10.1016/j.difgeo.2015.07.004}},
  volume       = {{42}},
  year         = {{2015}},
}