关于四分之一对称连接的非平坦黎曼弯曲积流形

IF 0.6 Q3 MATHEMATICS

Acta Universitatis Sapientiae-Mathematica Pub Date : 2019-12-01 DOI:10.2478/ausm-2019-0024

B. Pal, S. Dey, S. Pahan

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引用次数: 2

摘要

研究了n≥3维的四分之一对称连接下的广义拟爱因斯坦弯曲积和具有四分之一对称连接的ricci -对称广义拟爱因斯坦流形。我们还研究了广义拟爱因斯坦流形在什么条件下是关于四分之一对称连接的近爱因斯坦流形。讨论了广义拟爱因斯坦流形上关于四分之一对称连接的翘曲积的例子。

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On a non flat Riemannian warped product manifold with respect to quarter-symmetric connection

Abstract In this paper, we study generalized quasi-Einstein warped products with respect to quarter symmetric connection for dimension n ≥ 3 and Ricci-symmetric generalized quasi-Einstein manifold with quarter symmetric connection. We also investigate that in what conditions the generalized quasi-Einstein manifold to be nearly Einstein manifold with respect to quarter symmetric connection. Example of warped product on generalized quasi-Einstein manifold with respect to quarter symmetric connection are also discussed.

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