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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Isometric submersions of Finsler manifolds


Authors: J. C. Álvarez Paiva and C. E. Durán
Journal: Proc. Amer. Math. Soc. 129 (2001), 2409-2417
MSC (1991): Primary 53C22, 53C60; Secondary 53D20
Published electronically: January 17, 2001
MathSciNet review: 1823926
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Abstract:

The notion of isometric submersion is extended to Finsler spaces and it is used to construct examples of Finsler metrics on complex and quaternionic projective spaces all of whose geodesics are (geometrical) circles.


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Additional Information

J. C. Álvarez Paiva
Affiliation: Institut de Mathématique Pure et Appliquée, Université Catholique de Louvain, Chemin du Cyclotron 2, B–1348 Louvain–la–Neuve, Belgium
Email: alvarez@agel.ucl.ac.be

C. E. Durán
Affiliation: IVIC-Matemáticas, Aptdo. 21287, Caracas 1020A, Venezuela
Email: cduran@cauchy.ivic.ve

DOI: http://dx.doi.org/10.1090/S0002-9939-01-05910-X
PII: S 0002-9939(01)05910-X
Keywords: Finsler manifolds, isometric submersions, symplectic reduction
Received by editor(s): December 14, 1999
Published electronically: January 17, 2001
Additional Notes: The first author was partially supported by a Crédit aux Chercheurs from the FNRS
Dedicated: Dedicated to Enrique Planchart
Communicated by: Christopher Croke
Article copyright: © Copyright 2001 American Mathematical Society