The convexity of the level sets of maximal strictly space-like hypersurfaces defined on 2-dimensional space forms

被引：11

作者：

Wang, Peihe ^{[1
]}

Liu, Xiao ^{[1
]}

Liu, Zhonghua ^{[2
]}

机构：

[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China

[2] Linyi Univ, Yishui Campus, Yishui 276400, Shandong, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2018年 / 174卷

关键词：

Level sets; Maximal strictly space-like; hypersurface; Constant rank theorem; P-HARMONIC FUNCTIONS; GAUSSIAN CURVATURE; MINIMAL-SURFACES; PARALLEL PLANES; CURVES; MINKOWSKI; CONCAVITY; EQUATIONS; RESPECT; HEIGHT;

D O I：

10.1016/j.na.2018.04.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For the maximal strictly space-like hypersurface defined on 2-dimensional space forms, we derive some geometrical properties, including the regularity and the strict convexity and the curvature description of the level sets. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：79 / 103

页数：25

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