Some indefinite metrics and covariant derivatives of their curvature tensors
Some invariant theorems on geometry of Einstein non-symmetric field theory.
Some maximal graduation classes and their Riemannian properties
Some modified connection structures associated with the Finslerian gravitational field.
Some new conformal covariants.
Some Nonsemisymmetric Ricci-semisymmetric Warped Product Hypersurfaces
Some problems of differential geometry of one class of spaces of supporting elements
Some properties of fundamental bipoint tensor
Some properties of Jordan-Ehlers spacetime.
Some properties of para-Kähler-Walker metrics
A Walker 4-manifold is a pseudo-Riemannian manifold (M₄,g) of neutral signature, which admits a field of parallel null 2-planes. We study almost paracomplex structures on 4-dimensional para-Kähler-Walker manifolds. In particular, we obtain conditions under which these almost paracomplex structures are integrable, and the corresponding para-Kähler forms are symplectic. We also show that Petean's example of a nonflat indefinite Kähler-Einstein 4-manifold is a special case of our constructions.
Some regularity theorems in riemannian geometry
Some remarks on duality in
In this paper we review some of the concepts and results of V. I. Arnol’d [1] for curves in and extend them to curves and surfaces in .
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.