不定sasaki流形的类光超曲面上的某些主方向

Q4 Mathematics

Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2022-01-01 DOI:10.47743/anstim.2022.00018

S. Ssekajja

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引用次数: 0

摘要

本文研究了不定sasaki流形切向类光超曲面上若干主方向的几何性质。特别地，我们证明了在某些几何条件下，如果总空间具有常数全纯截面曲率，则该曲率为- 3。此外，我们还发现下垫的类光超表面在局部由完全测地线类光超表面片理。

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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On certain principal directions in lightlike hypersurfaces of an indefinite Sasakian manifold

In this paper, the geometry of some principal directions on a tangential lightlike hypersurface of an indefinite Sasakian manifold is investigated. In particular, we have proved, under some geometric conditions, that if the total space has constant holomorphic sectional curvature then such curvature is − 3. Moreover, it is shown that the underlying lightlike hypersurface is, locally, foliated by totally geodesic lightlike hypersurfaces.

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来源期刊

Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica MATHEMATICS-

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： This journal is devoted to the publication of original papers of moderate length addressed to a broad mathematical audience. It publishes results of original research and research-expository papers in all fields of mathematics.