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

IF 0.5 Q3 MATHEMATICS

Communications of the Korean Mathematical Society Pub Date : 2020-01-01 DOI:10.4134/CKMS.C200055

Chul Woo Lee, Jae Won Lee

引用次数: 0

Abstract

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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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

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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来源期刊

Communications of the Korean Mathematical Society MATHEMATICS-

CiteScore

1.10

自引率

0.00%

发文量

期刊介绍： This journal endeavors to publish significant research and survey of broad interests in pure and applied mathematics. One volume is published each year, and each volume consists of four issues (January, April, July, October).