三维拟sasaki流形的齐次变形和RICCI解

IF 0.5 Q3 MATHEMATICS Facta Universitatis-Series Mathematics and Informatics Pub Date : 2021-10-09 DOI:10.22190/fumi201114040m

T.N. Mandal

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摘要

在本文中，我们研究了关于$D_a$ -齐次变形的拟sasaki流形的曲率张量。我们推导了拟sasaki流形中关于$D_a$ -齐次变形的Ricci解。我们还证明了拟sasaki流形在$D_a$ -齐次变形下不是$\bar{\xi}$ -投影平坦的。并给出了一个例子来证明拟sasaki流形的存在性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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$D_a$-HOMOTHETIC DEFORMATION AND RICCI SOLITIONS IN THREE DIMENSIONAL QUASI-SASAKIAN MANIFOLDS

In the present paper, we have studied curvature tensors of a quasi-Sasakian manifold with respect to the $D_a$-homothetic deformation. We have deduced the Ricci solition in quasi-Sasakian manifold with respect to the $D_a$-homothetic deformation. We have also proved that the quasi-Sasakian manifold is not $\bar{\xi}$-projectively flat under $D_a$-homothetic deformation. Also we give an example to prove the existance of quasi-Sasakian manifold.

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Facta Universitatis-Series Mathematics and Informatics MATHEMATICS-

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