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...
Spaces with a covariant constant linear geometric object
Spaces with non-symmetric affine connection.
Space-time distributions.
Space-times admitting a covariantly constant spinor field
Special adapted basis in .
Special compositions in affinely connected spaces without a torsion
2000 Mathematics Subject Classification: 53B05, 53B99.Let AN be an affinely connected space without a torsion. With the help of N independent vector fields and their reciprocal covectors is built an affinor which defines a composition Xn ×Xm (n+m = N). The structure is integrable. New characteristics by the coefficients of the derivative equations are found for special compositions, studied in [1], [3]. Two-dimensional manifolds, named as bridges, which cut the both base manifolds of the composition...
Special Einstein’s equations on Kähler manifolds
This work is devoted to the study of Einstein equations with a special shape of the energy-momentum tensor. Our results continue Stepanov’s classification of Riemannian manifolds according to special properties of the energy-momentum tensor to Kähler manifolds. We show that in this case the number of classes reduces.
Spherical Hypersurfaces in Complex Manifolds.