Isometric submersions of Finsler manifolds
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- by J. C. Álvarez Paiva and C. E. Durán PDF
- Proc. Amer. Math. Soc. 129 (2001), 2409-2417 Request permission
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.References
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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
- 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
- Communicated by: Christopher Croke
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 2409-2417
- MSC (1991): Primary 53C22, 53C60; Secondary 53D20
- DOI: https://doi.org/10.1090/S0002-9939-01-05910-X
- MathSciNet review: 1823926
Dedicated: Dedicated to Enrique Planchart