On the stochastically complete hypersurfaces in the product spaces M n ( κ ) x R

被引：0

作者：

dos Santos, Fabio R. ^{[1
]}

Cruz, Joicy P. ^{[1
]}

机构：

[1] Univ Fed Pernambuco, Dept Matemat, BR-50740540 Recife, PE, Brazil

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2025年 / 546卷 / 02期

关键词：

Constant mean curvature; Weak maximum principle; Stochastically completenes; CONSTANT MEAN-CURVATURE; COMPLETE SUBMANIFOLDS; SURFACES; MANIFOLDS;

D O I：

10.1016/j.jmaa.2025.129292

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A Simons-type equation for hypersurfaces in a product space M-n(kappa) x R, where M-n(kappa) is a Riemannian manifold with constant sectional curvature kappa, is derived. Several applications are presented, including those for stochastically complete hypersurfaces with zero mean curvature and nonzero constant mean curvature in these spaces. (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, Al training, and similar technologies.

引用

页数：16

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