On a type of P-Sasakian manifolds

Authors

  • U.C. De University of Calcutta, West Bengal, India
  • K. Mandal University of Calcutta, West Bengal, India

Keywords:

Para-Sasakian manifold, pseudo-projectively symmetric, pseudoprojectively at, pseudoprojectively flat, Φ-projectively semisymmetric, locally Φ -projectively symmetric, Einstein manifold

Abstract

In this paper, we investigate pseudo-projectively symmetric P-Sasakian manifolds and P-Sasakian manifolds satisfying the condition R(X, ξ) • P = P(X, ξ)•R: Next, we study P-Sasakian manifolds satisfying the curvature condition P • S = 0 and pseudoprojectively at P-Sasakian manifolds. Further, we discuss Φ-projectively semisymmetric and locally Φ-projectively symmetric P-Sasakian manifolds. Finally, we construct an example of a 5-dimensional P-Sasakian manifold to verify some results.

Author Biographies

U.C. De, University of Calcutta, West Bengal, India

Department of Pure Mathematics, 35, Ballygunge Circular Road, Kol- 700019

K. Mandal, University of Calcutta, West Bengal, India

Department of Pure Mathematics, 35, Ballygunge Circular Road, Kol- 700019 

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Published

2011-01-07

Issue

Vol. 3(52) (2010)

Section

MATHEMATICS