Generalized Sasakian-Space-Forms with Quasi-Conformal Curvature Tensor

Rajendra Prasad; Pankaj .; Kwang-Soon Park

doi:10.56424/jts.v5i01.10438

Rajendra Prasad Department of Mathematics and Astronomy University of Lucknow, Lucknow-226007, India
Pankaj . Department of Mathematics and Astronomy University of Lucknow, Lucknow-226007, India
Kwang-Soon Park Department of Mathematical Sciences, Seoul National University, Seoul 151-747 (Korea).

DOI: https://doi.org/10.56424/jts.v5i01.10438

Keywords: Generalized Sasakian-space-form, Quasi-conformal curvature tensor, Quasi-conformally semi-symmetric, Ricci-operator, Ricci-tensor, Scalar curvature

Abstract

In this article, we study generalized Sasakian-space-form with quasi-con- formal curvature tensor. In a quasi-conformally °at generalized Sasakian-space- form we ¯nd some relations between di®erentiable functions f1, f2 and f3. In a quasi-conformally °at generalized Sasakian space form we also ¯nd Ricci- tensor, Ricci-operator and scaler curvature. Ricci-tensor, Ricci-operator and scalar curvature are also found in a quasi-conformally semi-symmetric general- ized Sasakian-space-form.