具有非对称非度量连接(l, m)的不定TRANS-SASAKIAN流形的一般类光子流形

Pub Date : 2020-01-01 DOI:10.4134/CKMS.C200055

Chul Woo Lee, Jae Won Lee

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引用次数: 0

摘要

Jin[7]在半黎曼流形上定义了一种新的非对称非度量连接。他说这个连接是('，m)类型的连接。Jin还研究了[7]中具有('，m)型连接的不定trans-Sasakian流形的类光超曲面。我们进一步研究这门学科的几何学。本文研究了具有('，m)型连接的不定反sasaki流形的一般类光子流形。

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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GENERIC LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE TRANS-SASAKIAN MANIFOLD WITH A NON-SYMMETRIC NON-METRIC CONNECTION OF TYPE (ℓ, m)

Jin [7] defined a new connection on semi-Riemannian manifolds, which is a non-symmetric and non-metric connection. He said that this connection is an (`, m)-type connection. Jin also studied lightlike hypersurfaces of an indefinite trans-Sasakian manifold with an (`,m)type connection in [7]. We study further the geometry of this subject. In this paper, we study generic lightlike submanifolds of an indefinite trans-Sasakian manifold endowed with an (`,m)-type connection.

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