Open Access
January 2009 On three-dimensional quasi-Sasakian manifolds
U. C. De, Avijit Sarkar
Author Affiliations +
SUT J. Math. 45(1): 59-71 (January 2009). DOI: 10.55937/sut/1248707491

Abstract

The object of the present paper is to study locally ϕ-symmetric three-dimensional quasi-Sasakian manifolds and such manifolds with η-parallel Ricci tensor and cyclic parallel Ricci tensor. An example of a locally ϕ-symmetric three-dimensional quasi-Sasakian manifold is also given.

Acknowledgement

The authors are thankful to the referee for his valuable suggestions in the improvement of the paper.

Citation

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U. C. De. Avijit Sarkar. "On three-dimensional quasi-Sasakian manifolds." SUT J. Math. 45 (1) 59 - 71, January 2009. https://doi.org/10.55937/sut/1248707491

Information

Received: 9 September 2008; Revised: 1 December 2008; Published: January 2009
First available in Project Euclid: 11 June 2022

Digital Object Identifier: 10.55937/sut/1248707491

Subjects:
Primary: 53C15 , 53C40

Keywords: cyclic parallel Ricci tensor , locally ϕ-symmetric , Quasi-Sasakian manifold , structure function , η-parallel Ricci tensor

Rights: Copyright © 2009 Tokyo University of Science

Vol.45 • No. 1 • January 2009
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