Some remarks on metric semisymmetric connections. (Quelques remarques sur les connexions semi-symétriques métriques.)
Some Remarks on the Nonorientable Surfaces
Some remarks on the physical structure of energy-momentum tensors in general relativity
Some representations of affine conformal transformations of Minkowski space.
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 projectively flat affine surfaces
We focus our attention on projectively flat affine surfaces. First, we classify the affine surfaces with projectively flat induced connection and constant Pick invariant. We also investigate the compact case and study how the geometry at the boundary determines the geometry of the surface.
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 results on warped product submanifolds of a Sasakian manifold.
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.
Some special product semisymmetric and some special holomorphically semisymmetric F-connections.
Some Special Subspaces of a Finsler Space
Some theorems on austere submanifolds.
Some Theorems on Codazzi Tensors.
Some trigonometric relations in the Lorentzian plane
Some vector subbundles of a cotangent bundle of order 2
Spacelike Salkowski and anti-Salkowski curves with a spacelike principal normal in Minkowski 3-space.
Spacelike submanifolds in indefinite space form
In this paper, we get an intrinsic inequality for spacelike submanifolds in indefinite space form , . We also get some rigidity theorems for such spacelike submanifolds.
Space-like Weingarten surfaces in the three-dimensional Minkowski space and their natural partial differential equations
On any space-like Weingarten surface in the three-dimensional Minkowski space we introduce locally natural principal parameters and prove that such a surface is determined uniquely up to motion by a special invariant function, which satisfies a natural non-linear partial differential equation. This result can be interpreted as a solution to the Lund-Regge reduction problem for space-like Weingarten surfaces in Minkowski space. We apply this theory to linear fractional space-like Weingarten surfaces...