SOME GEOMETRICAL PROPERTIES OF MINIMAL GRAPH ON SPACE FORMS WITH NONPOSITIVE CURVATURE

被引：0

作者：

Wang, Peihe ^{[1
]}

Qiu, Huimin ^{[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：

HOUSTON JOURNAL OF MATHEMATICS | 2018年 / 44卷 / 02期

关键词：

Level sets; steepest descents; minimal graph; CONVEX LEVEL SETS; GAUSSIAN CURVATURE; HARMONIC-FUNCTIONS; CURVES; CONCAVITY; SURFACES; RESPECT;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For the minimal graph defined on two dimensional space forms with nonpositive curvature, we derive some geometrical properties, including the regularity and the strict convexity of the level sets, the curvature description of its steepest descents.

引用

页码：545 / 570

页数：26

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