Heinz-type mean curvature estimates in Lorentz-Minkowski space

被引：1

作者：

Honda, Atsufumi ^{[1
]}

Kawakami, Yu ^{[2
]}

Koiso, Miyuki ^{[3
]}

Tori, Syunsuke ^{[4
]}

机构：

[1] Yokohama Natl Univ, Fac Engn, Dept Appl Math, Hodogaya Ku, 79-5 Tokiwadai, Yokohama, Kanagawa 2408501, Japan

[2] Kanazawa Univ, Fac Math & Phys, Inst Sci & Engn, Kanazawa, Ishikawa 9201192, Japan

[3] Kyushu Univ, Inst Math Ind, Nishi Ku, 744 Motooka, Fukuoka 8190395, Japan

[4] Kanazawa Univ, Grad Sch Nat Sci & Technol, Kanazawa, Ishikawa 9201192, Japan

来源：

REVISTA MATEMATICA COMPLUTENSE | 2021年 / 34卷 / 03期

关键词：

Heinz-type mean curvature estimate; Bernstein-type theorem; Space-like graph; Time-like graph; Constant mean curvature; HYPERSURFACES; GRAPHS;

D O I：

10.1007/s13163-020-00373-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We provide a unified description of Heinz-type mean curvature estimates under an assumption on the gradient bound for space-like graphs and time-like graphs in the Lorentz-Minkowski space. As a corollary, we give a unified vanishing theorem of mean curvature for these entire graphs of constant mean curvature.

引用

页码：641 / 651

页数：11

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