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Journal of Mathematical Sciences

, 177:589 | Cite as

Maximally movable spaces of Finsler type and their generalization

  • V. I. Panzhensky
  • O. V. Sukhova
Article
  • 15 Downloads

Abstract

In this paper, we consider some generalization of maximally movable spaces of Finsler type. Among them, there are locally conic spaces (Riemannian metrics of their tangent spaces are realized on circular cones) and generalized Lagrange spaces with Tamm metrics (their tangent Riemannian spaces admit all rotations). On the tangent bundle of a Riemannian manifold, we study a special class of almost product metrics, generated Tamm metric. This class contains Sasaki metric and Cheeger–Gromol metric. We determine the position of this class in the Naveira classification of Riemannian almost product metrics.

Keywords

Tangent Bundle Riemannian Space Tangent Cone Finsler Space Constant Sectional Curvature 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, Inc. 2011

Authors and Affiliations

  1. 1.Penza State Pedagogical UniversityPenzaRussia

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