A note on trans-Sasakian manifolds

Sharief Deshmukh; Mukut Tripathi

doi:10.2478/s12175-013-0176-4

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A note on trans-Sasakian manifolds

Sharief Deshmukh and Mukut Tripathi

Mathematica Slovaca, Vol.63(6), pp.1361-1370

01/12/2013

DOI: https://doi.org/10.2478/s12175-013-0176-4

Abstract

almost contact metric manifold

Primary 53C15, 53D10

Sasakian manifold

trans-Sasakian manifold

In this paper, we obtain some sufficient conditions for a 3-dimensional compact trans-Sasakian manifold of type (α, β) to be homothetic to a Sasakian manifold. A characterization of a 3-dimensional cosymplectic manifold is also obtained.

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Title: A note on trans-Sasakian manifolds
Creators - without role: Sharief Deshmukh - King Saud University
Mukut Tripathi - Banaras Hindu University
Publication Details: Mathematica Slovaca, Vol.63(6), pp.1361-1370
Publisher: Versita
Number of pages: 10
Identifiers: 9950424608331
Academic Unit: King Saud University
Language: English
Resource Type: Journal article