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http://dx.doi.org/10.7468/jksmeb.2021.28.2.143

SASAKIAN 3-MANIFOLDS SATISFYING SOME CURVATURE CONDITIONS ASSOCIATED TO Ƶ-TENSOR

Dey, Dibakar (Department of Pure Mathematics, University of Calcutta)
Majhi, Pradip (Department of Pure Mathematics, University of Calcutta)

Publication Information

The Pure and Applied Mathematics / v.28, no.2, 2021 , pp. 143-153 More about this Journal

Abstract

In this paper, we study some curvature properties of Sasakian 3-manifolds associated to Ƶ-tensor. It is proved that if a Sasakian 3-manifold (M, g) satisfies one of the conditions (1) the Ƶ-tensor is of Codazzi type, (2) M is Ƶ-semisymmetric, (3) M satisfies Q(Ƶ, R) = 0, (4) M is projectively Ƶ-semisymmetric, (5) M is Ƶ-recurrent, then (M, g) is of constant curvature 1. Several consequences are drawn from these results.

Keywords

Sasakian 3-manifolds; Einstein manifolds; Codazzi type Z-tensor; Z-semisymmetry; projective Z-semisymmetry; Z-recurrent manifolds;

Citations & Related Records

Reference

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