Contact CR-Warped product Submanifolds in Cosymplectic Manifolds

IF 0.6 Q3 MATHEMATICS

Kyungpook Mathematical Journal Pub Date : 2016-09-23 DOI:10.5666/KMJ.2016.56.3.965

M. Atc̣eken

引用次数: 6

Abstract

The aim of this paper is to study the geometry of contact CR-warped product submanifolds in a cosymplectic manifold. We search several fundamental properties of contact CR-warped product submanifolds in a cosymplectic manifold. We also give necessary and sufficient conditions for a submanifold in a cosymplectic manifold to be contact CR-(warped) product submanifold. After then we establish a general inequality between the warping function and the second fundamental for a contact CR-warped product submanifold in a cosymplectic manifold and consider contact CR-warped product submanifold in a cosymplectic manifold which satisfy the equality case of the inequality and some new results are obtained.

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接触余辛流形中的cr弯曲积子流形

研究了余辛流形中接触cr弯曲积子流形的几何性质。研究了余辛流形中接触cr -翘曲积子流形的几个基本性质。给出了余辛流形中的子流形为接触CR-积子流形的充分必要条件。在此基础上，建立了余辛流形中接触cr -弯曲积子流形的弯曲函数与第二基本之间的一般不等式，并考虑了余辛流形中接触cr -弯曲积子流形满足该不等式的等式情况，得到了一些新的结果。

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

Kyungpook Mathematical Journal MATHEMATICS-

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： Kyungpook Mathematical Journal is an international journal devoted to significant research concerning all aspects of mathematics. The journal has a preference for papers having a broad interest. One volume of the journal is published every year. Each volume until volume 42 consisted of two issues; however, starting from volume 43(2003), each volume consists of four issues. Authors should strive for expository clarity and good literary style. Manuscripts should be prepared as follows. The first page must consist of a short descriptive title, followed by the name(s) and address(es) of the author(s) along with an electronic address if available.