Hypersurfaces with free boundary in a convex conical domain in a space form

Pyo Juncheol

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Hypersurfaces with free boundary in a convex conical domain in a space form

机译：超曲面和自由边界凸锥形域空间形式

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摘要

This study presents rigidity results for hypersurfaces with free boundary in a convex conical domain in a space form. Let C be a conical domain with a piecewise linear boundary in a space form. A compact hypersurface with free boundary M subset of C is part of a geodesic sphere if either C is convex and M is an embedded and has constant higher order mean curvature, or H-1 does not vanish and the ratio H-r/H-t, l < r, is constant on M.

机译：本研究提出了刚性的结果超曲面和自由边界凸锥形域空间形式。与分段线性锥形域边界在一个空间形式。边界M C子集是测地线的一部分球如果C是凸和M是嵌入式和持续的高阶平均曲率,或h -不消失,比H-r /谷岩,l < r,M是恒定的。

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《Annales Polonici Mathematici》 |2020年第1期|71-81|共11页
作者
Pyo Juncheol;
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作者单位

Pusan Natl Univ, Dept Math, Busan 46241, South Korea;

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正文语种英语
中图分类数学;
关键词
mean curvature; hypersurface; space configurationfree boundariesBoundaryConvexityDomainConical;

机译：平均曲率;超表面;空间配置自由边界边界凸性域圆锥形;

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Hypersurfaces with free boundary in a convex conical domain in a space form

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