On Trans-Sasakian manifolds

A. A. Shaikh; Y. Matsuyama

doi:10.55937/sut/1248893630

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Home > Journals > SUT J. Math. > Volume 45 > Issue 1 > Article

January 2009 On Trans-Sasakian manifolds

A. A. Shaikh, Y. Matsuyama

Author Affiliations +

A. A. Shaikh,¹ Y. Matsuyama²
¹Department of Mathematics, University of Burdwan, Burdwan 713104, W. B., India
²Department of Mathematics, Chuo University, Kasuga, Bunkyo-ku, Tokyo 112-8551, Japan

SUT J. Math. 45(1): 25-41 (January 2009). DOI: 10.55937/sut/1248893630

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Abstract

The notion of generalized $\eta$ -Einstein trans-Sasakian manifold is introduced. Conformally flat trans-Sasakian manifolds are studied and introduced the idea of a manifold of hyper generalized quasi-constant curvature with various non-trivial examples.

Acknowledgement

The authors express their sincere thanks to the referee for his valuable suggestions in the improvement of the paper.

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A. A. Shaikh. Y. Matsuyama. "On Trans-Sasakian manifolds." SUT J. Math. 45 (1) 25 - 41, January 2009. https://doi.org/10.55937/sut/1248893630

Information

Received: 7 June 2007; Revised: 23 January 2009; Published: January 2009

First available in Project Euclid: 11 June 2022

Digital Object Identifier: 10.55937/sut/1248893630

Subjects:

Primary: 53C15 , 53C25

Keywords: conformally flat trans-Sasakian manifold , cosymplectic , generalized quasi-constant curvature , generalized η-Einstein trans-Sasakian manifold , hyper generalized quasi-constant curvature , α-Sasakian, β-Kenmotsu

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