Harmonic morphisms as sphere bundles over compact Riemann surfaces
(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:
https://lup.lub.lu.se/record/827871
- author
- Gudmundsson, Sigmundur
LU
- organization
- publishing date
- 1997
- 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
- 2022-01-29 19:21:14
@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}}, }