Projective Randers change of -Finsler spaces
Projectively flat Finsler metrics with orthogonal invariance
We study Finsler metrics with orthogonal invariance. By determining an expression of these Finsler metrics we find a PDE equivalent to these metrics being locally projectively flat. After investigating this PDE we manufacture projectively flat Finsler metrics with orthogonal invariance in terms of error functions.
Regularity of p-harmonic maps into certain manifolds with positive sectional curvature.
Relations between Finsler and affine connections
Relations between induced and intrinsic curvature tensors of a subspace in the Finsler space
Relations Between Induced Curvature Tensors Of Finsler Hypersurface Fn-1 And Curvature Tensors Of Imbedding Space Fn
Relations between induced curvature tensors of Finsler hypersurface Fn-1 and curvature tensors of imbedding space Fn.
Riemann-Lagrange geometrical background for multi-time physical fields.
Riemannsche Arealstrukturen und muliquadratische Formen.
Some framed f -structures on transversally Finsler foliations
Some problems concerning to Liouville distribution and framed f-structures are studied on the normal bundle of the lifted Finsler foliation to its normal bundle. It is shown that the Liouville distribution of transversally Finsler foliations is an integrable one and some natural framed f(3, ε)-structures of corank 2 exist on the normal bundle of the lifted Finsler foliation.
Some generalized comparison results in Finsler geometry and their applications
In this paper, we generalize the Hessian comparison theorems and Laplacian comparison theorems described in [16, 18], then give some applications under various curvature conditions.
Some Hermite Metrics in Complex Finsler Spaces
Some Hermite metrics in complex Finsler spaces.
Some modified connection structures associated with the Finslerian gravitational field.
Some problems of differential geometry of one class of spaces of supporting elements
Some results on curvature and topology of Finsler manifolds
We investigate the curvature and topology of Finsler manifolds, mainly the growth of the fundamental group. By choosing a new counting function for the fundamental group that does not rely on the generators, we are able to discuss the topic in a more general case, namely, we do not demand that the manifold is compact or the fundamental group is finitely generated. Among other things, we prove that the fundamental group of a forward complete and noncompact Finsler n-manifold (M,F) with nonnegative...
Some results on the geometry of Minkowski plane
In this paper we study the geometry of Minkowski plane and obtain some results. We focus on the curve theory in Minkowski plane and prove that the total curvature of any simple closed curve equals to the total Landsberg angle. As the result, the sum of oriented exterior Landsberg angles of any polygon is also equal to the total Landsberg angle, and when the Minkowski plane is reversible, the sum of interior Landsberg angles of any -gon is times of the total Landsberg angle. Our results generalizes...
Some rigidity theorems for Finsler manifolds.
Some rigidity theorems for Finsler manifolds of sectional flag curvature
In this paper we study some rigidity properties for Finsler manifolds of sectional flag curvature. We prove that any Landsberg manifold of non-zero sectional flag curvature and any closed Finsler manifold of negative sectional flag curvature must be Riemannian.
Some special cases of parallel displacements in recurrent Finsler spaces.