We prove that the boundary distance map of a smooth compact Finsler manifold with smooth
boundary determines its topological and differentiable structures. We construct the optimal …

Every Finsler metric naturally induces a spray but not so for the converse. The notion for
sprays of scalar (resp. isotropic) curvature has been known as a generalization for Finsler …

We prove that the boundary distance map of a smooth compact Finsler manifold with smooth
boundary determines its topological and differential structures. We construct the optimal …

In this paper, we study the invariant metrizability and projective metrizability problems for the
special case of the geodesic spray associated to the canonical connection of a Lie group …

Hamel functions of a spray play an important role in the study of the projective metrizability of
the concerned spray, and Funk functions are special Hamel functions. A Finsler metric is a …

For a 2-dimensional non-flat spray we associate a Berwald frame and a 3-dimensional
distribution that we call the Berwald distribution. The Frobenius integrability of the Berwald …

Abstract In 2001, Zhongmin Shen asked if it is possible for two projectively related Finsler
metrics to have the same Riemann curvature (Shen in Differential Geometry of Spray and …

We consider the projective Finsler metrizability problem: under what conditions the solutions
of a given system of second-order ordinary differential equations (SODE) coincide with the …

Geodesics, which play an important role in spray-Finsler geometry, are integral curves of a
spray vector field on a manifold. Some comparison theorems and rigidity issues are …

Nullity Distribution in Finsler Geometry Doktori (PhD) értekezés Szerzo: Salah Gomaa Ahmed
Ali Témavezeto: Dr. Zoltán Mu Page 1 DE TTK 1949 Nullity Distribution in Finsler Geometry …