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ON A CLASS OF THREE-DIMENSIONAL TRANS-SASAKIAN MANIFOLDS

Uday Chand De|Krishnendu De
대한수학회 (The Korean Mathematical Society)|2012.10|대한수학회논문집 (Communications of the KMS)|제27권 제4호|pp. 795-808

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참고문헌

키워드

trans-Sasakian manifoldconservative curvature tensorη-Einstein manifold.
주제분류수학

초록

The object of the present paper is to study 3-dimensional trans-Sasakian manifolds with conservative curvature tensor and also 3-dimensional conformally flat trans-Sasakian manifolds. Next we consider compact connected η-Einstein 3-dimensional trans-Sasakian manifolds. Finally, an example of a 3-dimensional trans-Sasakian manifold is given,which verifies our results.

Abstract

The object of the present paper is to study 3-dimensional trans-Sasakian manifolds with conservative curvature tensor and also 3-dimensional conformally flat trans-Sasakian manifolds. Next we consider compact connected η-Einstein 3-dimensional trans-Sasakian manifolds. Finally, an example of a 3-dimensional trans-Sasakian manifold is given,which verifies our results.

참고문헌 (19)

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