The Jacobi fields for a spray on the tangent bundle.
The -dual of an Finsler space of order two.
The relation between the associate almost complex structure to and -Cartan connections.
The rigidity theorem for Landsberg hypersurfaces of a Minkowski space
Let Mⁿ be a compact Landsberg hypersurface of a Minkowski space with constant mean curvature H. Using the Gauss formula for the Chern connection of Finsler submanifolds, we prove that if M is convex, then M is Riemannian with constant curvature.
The -curvature of homogeneous -metrics.
The Scalar Curvature of the Tangent Bundle of a Finsler Manifold
Theory of conformally Berwald Finsler spaces and its applications to -metrics.
Theory of the zero order effect suitable to investigate the space-time geometrical properties.
Tores finslériens sans points conjugués
Transformations infinitésimales conformes des variétés finslériennes compactes
Tzitzeica figuratrices in Hamilton geometry.
Uniform Finsler Hadamard manifolds
Uniqueness of complex geodesics and characterization of circular domains.
Volume comparison theorem for tubular neighborhoods of submanifolds in Finsler geometry and its applications
We consider the distance to compact submanifolds and study volume comparison for tubular neighborhoods of compact submanifolds. As applications, we obtain a lower bound for the length of a closed geodesic of a compact Finsler manifold. When the Finsler metric is reversible, we also provide a lower bound of the injectivity radius. Our results are Finsler versions of Heintze-Karcher's and Cheeger's results for Riemannian manifolds.
Volume et profil isopérimétrique asymptotiques des tores
Witt algebra and the curvature of the Heisenberg group
The aim of this paper is to determine explicitly the algebraic structure of the curvature algebra of the 3-dimensional Heisenberg group with left invariant cubic metric. We show, that this curvature algebra is an infinite dimensional graded Lie subalgebra of the generalized Witt algebra of homogeneous vector fields generated by three elements.
Zermelo problem of navigation on Hermitian manifolds.
Zur metrischen Differentialgeometrie auf Mannigfaltigkeiten mit p-Areal und nichtlinearem Zusammenhang für einfache p-Vektoren.
Аксиоматика общерелятивистского и финслерова пространство-времен посредством причинности
Однородные многообразия с внутренней метрикой. I