具有弯曲函数的弯曲积双斜子流形的几何不等式。

IF 1.6 3区数学 Q1 Mathematics

Journal of Inequalities and Applications Pub Date : 2018-01-01 Epub Date: 2018-09-27 DOI:10.1186/s13660-018-1843-3

Aliya Naaz Siddiqui, Mohammad Hasan Shahid, Jae Won Lee

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引用次数: 4

摘要

本文证明了具有任意余维的双斜子流形的第二种基本形式的平方范数是由一个翘曲函数的梯度有界的，并给出了该等式成立的条件。还提供了一些相关的例子。

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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Geometric inequalities for warped product bi-slant submanifolds with a warping function.

In this paper, we prove that the squared norm of the second fundamental form for bi-slant submanifolds with any codimension of nearly trans-Sasakian manifolds is bounded below by the gradient of a warping function and also find the conditions on which the equality holds. Some related examples are also provided.

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来源期刊

Journal of Inequalities and Applications MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.30

自引率

6.20%

发文量

136

审稿时长

3 months

期刊介绍： The aim of this journal is to provide a multi-disciplinary forum of discussion in mathematics and its applications in which the essentiality of inequalities is highlighted. This Journal accepts high quality articles containing original research results and survey articles of exceptional merit. Subject matters should be strongly related to inequalities, such as, but not restricted to, the following: inequalities in analysis, inequalities in approximation theory, inequalities in combinatorics, inequalities in economics, inequalities in geometry, inequalities in mechanics, inequalities in optimization, inequalities in stochastic analysis and applications.