AbstractThis paper studies some properties of projective changes in spray and Finsler geometry. Firstly, it obtains a comparison theorem on Ricci curvature for projectively related Finsler metrics. Secondly, it studies the properties of a class of projectively flat sprays, which particularly shows that there exist many isotropic sprays that cannot be induced by any (even singular) Finsler metrics
The aim of this thesis is to study the theory of Finsler spaces by considering the following main ob...
AbstractAfter a careful study of the mixed curvatures of the Berwald-type (in particular, Berwald) c...
After a careful study of the mixed curvatures of the Berwald-type (in particular, Berwald) connec-ti...
AbstractThis paper studies some properties of projective changes in spray and Finsler geometry. Firs...
The notion of the Ricci curvature is defined for sprays on a manifold. With a volume form on a manif...
A basic goal of this paper is to calculate, Weyl curvature of R-flat (Ricci-flat) spray of isotropic...
Based on a self-contained, coordinate-free exposition of the necessary concepts and tools of spray a...
AbstractThis paper is concerned with the problem of determining whether a projective-equivalence cla...
In this essentially selfcontained paper first we establish an intrinsic ver-sion and present a coord...
summary:The projective Finsler metrizability problem deals with the question whether a projective-eq...
It is shown that in dimension greater than 2 a spray is isotropic if and only if it is locally proje...
Every Riemannian metric or Finsler metric on a manifold induces a spray via its geodesics. In this p...
We study Finsler metrics with orthogonal invariance. By determining an expression of these Finsler m...
In this paper, the geometric meaning of (alpha, beta)-norms is made clear. On this basis, a new clas...
A spray is a second-order differential equation field on the slit tangent bundle of a differentiable...
The aim of this thesis is to study the theory of Finsler spaces by considering the following main ob...
AbstractAfter a careful study of the mixed curvatures of the Berwald-type (in particular, Berwald) c...
After a careful study of the mixed curvatures of the Berwald-type (in particular, Berwald) connec-ti...
AbstractThis paper studies some properties of projective changes in spray and Finsler geometry. Firs...
The notion of the Ricci curvature is defined for sprays on a manifold. With a volume form on a manif...
A basic goal of this paper is to calculate, Weyl curvature of R-flat (Ricci-flat) spray of isotropic...
Based on a self-contained, coordinate-free exposition of the necessary concepts and tools of spray a...
AbstractThis paper is concerned with the problem of determining whether a projective-equivalence cla...
In this essentially selfcontained paper first we establish an intrinsic ver-sion and present a coord...
summary:The projective Finsler metrizability problem deals with the question whether a projective-eq...
It is shown that in dimension greater than 2 a spray is isotropic if and only if it is locally proje...
Every Riemannian metric or Finsler metric on a manifold induces a spray via its geodesics. In this p...
We study Finsler metrics with orthogonal invariance. By determining an expression of these Finsler m...
In this paper, the geometric meaning of (alpha, beta)-norms is made clear. On this basis, a new clas...
A spray is a second-order differential equation field on the slit tangent bundle of a differentiable...
The aim of this thesis is to study the theory of Finsler spaces by considering the following main ob...
AbstractAfter a careful study of the mixed curvatures of the Berwald-type (in particular, Berwald) c...
After a careful study of the mixed curvatures of the Berwald-type (in particular, Berwald) connec-ti...
DOI
Add to ORKG