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Curvature Estimates of Hypersurfaces in the Minkowski Space

Curvature Estimates of Hypersurfaces in the Minkowski Space
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摘要 A class of curvature estimates of spacelike admissible hypersurfaces related to translating solitons of the higher order mean curvature flow in the Minkowski space is obtained,which may ofer an idea to study an open question of the existence of hypersurfaces with the prescribed higher mean curvature in the Minkowski space. A class of curvature estimates of spacelike admissible hypersurfaces related to translating solitons of the higher order mean curvature flow in the Minkowski space is ob- tained, which may offer an idea to study an open question of the existence of hypersurfaces with the prescribed higher mean curvature in the Minkowski space.
作者 Yong HUANG
机构地区 Wuhan Institute of Physics and Mathematics
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2013年第5期753-764,共12页 数学年刊（B辑英文版）
基金 the National Natural Science Foundation of China(No.11001261)
关键词 闵可夫斯基空间 曲率估计 超曲面 平均曲率流 高阶孤子 类空 Minkowski space, Hypersurface, Curvature estimates, Translating solitons
分类号 O186.11 [理学—基础数学] O186.16 [理学—基础数学]
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  • 3Guan, B.: The dirichlet problem for Monge-Amperes in non-convex domains and spacelike hypersurfaces of constant gauss curvature. Trans. Amer. Math. Soc., 350, 4955-4971 (1998)
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Chinese Annals of Mathematics,Series B
2013年 第5期

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