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JOURNALS // Fundamentalnaya i Prikladnaya Matematika // Archive

Fundam. Prikl. Mat., 2010 Volume 16, Issue 1, Pages 109–119 (Mi fpm1294)

Maximally movable spaces of Finsler type and their generalization

V. I. Panzhensky, O. V. Sukhova

Penza State Pedagogical University

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.

UDC: 514.76


 English version:
Journal of Mathematical Sciences (New York), 2011, 177:4, 589–596

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© Steklov Math. Inst. of RAS, 2024