有界平均曲率子曼形体的平均出口时间

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-07-22 DOI:10.1007/s11118-024-10160-6

G. Pacelli Bessa, Steen Markvorsen, Leandro F. Pessoa

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引用次数: 0

摘要

我们证明，具有无限平均退出时间的子漫游无法等轴地、最小地浸入某些积空间的圆柱体、角柱体、圆锥体和楔形中。我们的方法不是基于无穷大时的弱最大原则，因此它允许我们概括以前关于随机完全子曲面不可浸没性的结果。我们还得出了浸入圆柱体的具有小平均曲率的子满足矩塔的估计值。

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Mean Exit Times from Submanifolds with Bounded Mean Curvature

We show that submanifolds with infinite mean exit time can not be isometrically and minimally immersed into cylinders, horocylinders, cones, and wedges of some product spaces. Our approach is not based on the weak maximum principle at infinity, and thus it permits us to generalize previous results concerning non-immersibility of stochastically complete submanifolds. We also produce estimates for the complete tower of moments for submanifolds with small mean curvature immersed into cylinders.

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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.