The object of the present paper is to study three-dimensional Lorentzian -Sasakian manifolds which are Ricci-semisymmetry, locally symmetric and have -parallel Ricci tensor. An example of a three-dimensional Lorentzian -Sasakian manifold is given which verifies all the Theorems.

We classify locally homogeneous quasi-Sasakian manifolds in dimension five that admit a parallel spinor ψ of algebraic type F · ψ = 0 with respect to the unique connection ∇ preserving the quasi-Sasakian structure and with totally skew-symmetric torsion. We introduce a certain conformal transformation of almost contact metric manifolds and discuss a link between them and the dilation function i...

The geometry of nearly trans-Sasakian manifolds is researched in this paper. complete group structural equations and the components Lee vector on space associated $G$-structure are obtained for such manifolds. Conditions found under which a structure trans-Sasakian, cosymplectic, closely Sasakian or Kenmotsu structure. conditions when special generalized second kind. A classification obtained, ...

The objective of the present paper is to study φ–recurrent Sasakian manifolds. AMS Mathematics Subject Classification (2000): 53C05, 53C20, 53C25

We classify Hopf cylinders with proper mean curvature vector field in Sasakian 3-manifolds with respect to the Tanaka-Webster connection.

We study the Lie algebra of infinitesimal isometries of 7–dimensional simply connected manifolds with Killing spinors. We obtain some splitting theorems for the action of this algebra on the space of Killing spinors, and as a corollary we prove that there are no infinitesimal isometry of constant length on a 7–dimensional 3– Sasakian manifold (not isometric to a space form) except the linear co...

A Sasakian structure S=(;;;;g) on a manifold M is called positive if its basic rst Chern class c 1 (F) can be represented by a positive (1;1)-form with respect to its transverse holomorphic CR-structure. We prove a theorem that says that every positive Sasakian structure can be deformed to a Sasakian structure whose metric has positive Ricci curvature. This allows us by example to give a comple...

Copyright q 2010 Siraj Uddin et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We study warped product Pseudo-slant submanifolds of Sasakian manifolds. We prove a theorem for the existence of warped product submanifolds of a ...