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Harmonic morphisms as sphere bundles over compact Riemann surfaces

Gudmundsson, Sigmundur LU orcid (1997) In International Journal of Mathematics 8(7). p.935-942
Abstract
We prove that the projection map of an orientable sphere bundle, over a compact Riemann surface, of any homotopy type can be realized as a harmonic morphism with totally geodesic fibres.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
topological sphere bundles, harmonic maps, harmonic morphisms
in
International Journal of Mathematics
volume
8
issue
7
pages
935 - 942
publisher
World Scientific Publishing
external identifiers
  • scopus:21944452270
ISSN
0129-167X
DOI
10.1142/S0129167X97000445
language
English
LU publication?
yes
id
f326bc7f-98d7-48bd-b3da-329019b32ccd (old id 827871)
alternative location
http://s0129167x97000445.pdf/
date added to LUP
2016-04-04 09:44:45
date last changed
2025-10-14 08:57:25
@article{f326bc7f-98d7-48bd-b3da-329019b32ccd,
  abstract     = {{We prove that the projection map of an orientable sphere bundle, over a compact Riemann surface, of any homotopy type can be realized as a harmonic morphism with totally geodesic fibres.}},
  author       = {{Gudmundsson, Sigmundur}},
  issn         = {{0129-167X}},
  keywords     = {{topological sphere bundles; harmonic maps; harmonic morphisms}},
  language     = {{eng}},
  number       = {{7}},
  pages        = {{935--942}},
  publisher    = {{World Scientific Publishing}},
  series       = {{International Journal of Mathematics}},
  title        = {{Harmonic morphisms as sphere bundles over compact Riemann surfaces}},
  url          = {{http://dx.doi.org/10.1142/S0129167X97000445}},
  doi          = {{10.1142/S0129167X97000445}},
  volume       = {{8}},
  year         = {{1997}},
}