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On a class of Riemannian metrics arising from Finsler structures
- Source :
-
Comptes Rendus. Mathématique . Mar2011, Vol. 349 Issue 5/6, p319-322. 4p. - Publication Year :
- 2011
-
Abstract
- Abstract: On the slit tangent bundle of Finsler manifolds, we introduce a class of metrics and study the relation between Levi-Civita connection, Vaisman connection, vertical foliation, and Reinhart spaces. We show that the Levi-Civita and the Vaisman connections induce the same connections in the structural bundle if and only if the base manifold is Landsbergian. Moreover every foliated Reinhart manifold reduces to a Riemannian manifold. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 1631073X
- Volume :
- 349
- Issue :
- 5/6
- Database :
- Academic Search Index
- Journal :
- Comptes Rendus. Mathématique
- Publication Type :
- Academic Journal
- Accession number :
- 59456049
- Full Text :
- https://doi.org/10.1016/j.crma.2011.01.021