Kenmotsu 空间形式中的翘积 Legendrian 子满上的 Chen 不等式及其应用

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-05-06 DOI:10.1186/s13660-024-03133-1

Fatemah Abdullah Alghamdi, Lamia Saeed Alqahtani, Akram Ali

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引用次数: 0

摘要

在当前的工作中，我们研究了 Kenmotsu 空间形式 $\mathbb{F}^{2n+1}(\epsilon )$ 中翘曲积 Legendrian 子曼形体的几何和拓扑，并推导出第一个 Chen 不等式，包括平均曲率和翘曲函数长度等外在不变式。此外，截面曲率和δ不变式也是与该不等式相关的内在不变式。此外，还给出了紧凑翘曲积子曲面的波赫纳算子公式的梯度里奇曲率的积分约束。我们的主要技术是将几何应用于数字结构，并解决诸如迪里夏特特征值问题。

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Chen inequalities on warped product Legendrian submanifolds in Kenmotsu space forms and applications

In the current work, we study the geometry and topology of warped product Legendrian submanifolds in Kenmotsu space forms $\mathbb{F}^{2n+1}(\epsilon )$ and derive the first Chen inequality, including extrinsic invariants such as the mean curvature and the length of the warping functions. Additionally, sectional curvature and the δ-invariant are intrinsic invariants related to this inequality. An integral bound is also given in terms of the gradient Ricci curvature for the Bochner operator formula of compact warped product submanifolds. Our primary technique is applying geometry to number structures and solving problems such as problems with Dirichlet eigenvalues.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.