Some results on the frame bundle of an almost contact metric manifold
Some results on warped product submanifolds of a Sasakian manifold.
Some spectral results for the Laplacian on line bundles over Sn.
Some type of semisymmetry on two classes of almost Kenmotsu manifolds
The object of the present paper is to study some types of semisymmetry conditions on two classes of almost Kenmotsu manifolds. It is shown that a -almost Kenmotsu manifold satisfying the curvature condition is locally isometric to the hyperbolic space . Also in -almost Kenmotsu manifolds the following conditions: (1) local symmetry , (2) semisymmetry , (3) , (4) , (5) locally isometric to the hyperbolic space are equivalent. Further, it is proved that a -almost Kenmotsu manifold satisfying...
Sous-variétés complexes d'Einstein de l'espace projectif
Special directions on contact metric manifolds of negative -sectional curvature
Spectral Geometry for Certain Noncompact Riemannian Manifolds.
Stability of slant and semi-slant submanifolds in Sasaki manifolds.
Standard homogeneous Einstein manifolds and Diophantine equations
Some new examples of standard homogeneous Einstein manifolds with semisimple transitive groups of motions and semisimple isotropy subgroups are constructed. For the construction of these examples the solutions of some systems of Diophantine equations are used.
Structures de Weyl-Einstein, espace de twisteurs et variétés de type S1 x S3.
Submanifolds of -structure manifold satisfying .
Submanifolds with harmonic mean curvature in pseudo-Hermitian geometry
We classify Hopf cylinders with proper mean curvature vector field in Sasakian 3-manifolds with respect to the Tanaka-Webster connection.
Sur les variétés presque sasakiennes
Symmetries and Kähler-Einstein metrics
We consider Fano manifolds that admit a collection of finite automorphism groups , such that the quotients are smooth Fano manifolds possessing a Kähler-Einstein metric. Under some numerical and smoothness assumptions on the ramification divisors, we prove that admits a Kähler-Einstein metric too.
Symplectic connections with parallel Ricci tensor
A variational principle introduced to select some symplectic connections leads to field equations which, in the case of the Levi Civita connection of Kähler manifolds, are equivalent to the condition that the Ricci tensor is parallel. This condition, which is stronger than the field equations, is studied in a purely symplectic framework.
Tangent bundle of the hypersurfaces in a Euclidean space.
Tangent sphere bundles of natural diagonal lift type.
The almost Einstein operator for distributions
For the geometry of oriented distributions , which correspond to regular, normal parabolic geometries of type for a particular parabolic subgroup , we develop the corresponding tractor calculus and use it to analyze the first BGG operator associated to the -dimensional irreducible representation of . We give an explicit formula for the normal connection on the corresponding tractor bundle and use it to derive explicit expressions for this operator. We also show that solutions of this operator...
The Classification of ...-symmetric Sasakian Manifolds.
The Closed Geodesics of a Special Manifold.