On 3-symmetric Riemannian spaces of solvable type
On a Class of Generalized Gelfand Pairs.
On a Class of Generalized quasi-Einstein Manifolds with Applications to Relativity
Quasi Einstein manifold is a simple and natural generalization of Einstein manifold. The object of the present paper is to study some properties of generalized quasi Einstein manifolds. We also discuss with space-matter tensor and some properties related to it. Two non-trivial examples have been constructed to prove the existence of generalized quasi Einstein spacetimes.
On a new normalization for tractor covariant derivatives
A regular normal parabolic geometry of type on a manifold gives rise to sequences of invariant differential operators, known as the curved version of the BGG resolution. These sequences are constructed from the normal covariant derivative on the corresponding tractor bundle , where is the normal Cartan connection. The first operator in the sequence is overdetermined and it is well known that yields the prolongation of this operator in the homogeneous case . Our first main result...
On a Semi-symmetric Metric Connection in an Almost Kenmotsu Manifold with Nullity Distributions
We consider a semisymmetric metric connection in an almost Kenmotsu manifold with its characteristic vector field belonging to the -nullity distribution and -nullity distribution respectively. We first obtain the expressions of the curvature tensor and Ricci tensor with respect to the semisymmetric metric connection in an almost Kenmotsu manifold with belonging to - and -nullity distribution respectively. Then we characterize an almost Kenmotsu manifold with belonging to -nullity distribution...
On Almost Pseudo-Z-symmetric Manifolds
The object of the present paper is to study almost pseudo-Z-symmetric manifolds. Some geometric properties have been studied. Next we consider conformally flat almost pseudo-Z-symmetric manifolds. We obtain a sufficient condition for an almost pseudo-Z-symmetric manifold to be a quasi Einstein manifold. Also we prove that a totally umbilical hypersurface of a conformally flat () is a manifold of quasi constant curvature. Finally, we give an example to verify the result already obtained in Section...
On certain Einstein space-time
On contact sub-riemannian symmetric spaces
On extrinsic symmetric Cauchy-Riemann manifolds.
On extrinsic symmetric CR-structures on the manifolds of complete flags.
On generalized curvature tensors on some Riemannian manifolds
On hierarchy of the positioned eco-grammar systems
Positioned eco-grammar systems (PEG systems, for short) were introduced in our previous papers. In this paper we engage in a new field of research, the hierarchy of PEG systems, namely in the hierarchy of the PEG systems according to the number of agents presented in the environment and according to the number of types of agents in the system.
On homogeneous hypersurfaces in complex Grassmannians.
On Homogeneous Manifolds of Negative Curvature.
On hyperbolic cones and mixed symmetric spaces.
On isometries of the symmetric space P₁(3,ℝ)
We classify the isometries in the non-identity component of the whole isometry group of the symmetric space of positive 3 × 3 matrices of determinant 1: we determine the translation lengths, minimal spaces and fixed points at infinity.
On non-parallel -structures.
On rank one symmetric space
In this paper we survey some recent results on rank one symmetric space.
On Riemannian manifolds whose tangent sphere bundles can have nonnegative sectional curvature.
On some causal and conformal groups.