About 7,720 results
|Matsumoto, K. On Lorentzian paracontact manifolds. Bull, of Yamagata Univ. Nat. |
Sci., 1989,12, 151-156. 2. Mihai, I. and Rosca, R. On Lorentzian P-Sasakian
Manifolds. Classical Analysis. World Scientific, Singapore, 1992, 155-169. 3.
|§ 1. Recurrent P-Sasakian manifold. Let us consider the relation (1.1) V£V„ R£f = |
afp RSy0a, afp ± 0, where aip is a non-zero recurrent tensor field. Definition 1.1.
The curvature tensor RSyg of the P-Sasakian manifold M" satisfying the relation ...
|Hence, since a p-sasakian manifold has a positive definite metric, we find either |
fyja* = 0 -.(2.4^ or (Vjk!»V,*J ...(15) that is, the recurrent vector is gradient. we
have now the following theorem : A recurrent P-sasakian manifold does not exist.
|The class of locally or globally <p-symmetric spaces form a proper subclass of |
the class of KTS-spaces. These manifolds have been introduced in [T] for
Sasakian geometry. The Sasakian manifolds play an important role in contact
|INTRODUCTION In this report we should like to investigate p-Sasakian manifolds|
. In §1 we give the definition of p-Sasakian manifold. For the special case p = 0, a
p-Sasakian manifold means a Kaehlerian manifold, and I-Sasakian manifold is ...
|Let (M,g) be any (2m+1)-dimensional compact Riemannian manifold of constant |
sectional curvature +1. Then M is a ... (c) be a Sasakian space form i.e., a real (
2m + 1)-dimensional Sasakian manifold of constant (p-sectional curvature c.
|On P-Sasakian manifolds which admit certain tensor fields By KOJI |
MATSUMOTO (Yamagata), STERE IANUS, ION MIHAI (Bucharest) 0. Introduction
. G. P. Pokhamyal and R. S. Mishra () have introduced new tensor fields named
as Wt ...
|Then, M becomes an almost contact metric manifold equipped with an almost |
contact metric structure (<p,£,r/, ( , )). An almost contact metric structure becomes
a contact metric structure if $ = dn. A normal contact metric manifold is a Sasakian
|/f-CONTACT FLOW - A contact form on a smooth (2n + l)-dimensional manifold M |
is a 1-form a such that q A (da)n is everywhere ... g(X,Y)Z - a(Y)X, where V is the
Levi-Civita connection of g, then one says that (M, q) is a Sasakian manifold, , [
12]. ... Actually, P. Rukimbira  showed that no torus can carry a if-contact flow.