Gauss-Bonnet formulae and rotational integrals in constant curvature spaces

被引：1

作者：

Barahona, S. ^{[1
]}

Gual-Arnau, X. ^{[2
]}

机构：

[1] Univ Jaume 1, Dept Matemat, Castellon de La Plana 12071, Spain

[2] Univ Jaume 1, Dept Matemat, Inst New Imaging Technol, Castellon de La Plana 12071, Spain

来源：

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2017年 / 50卷

关键词：

Gauss-Bonnet formula; Integral of mean curvature; Intrinsic volume; Rotational integral formulas; Space form; SURFACE-AREA; FORMS;

D O I：

10.1016/j.difgeo.2016.11.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain generalizations of the main result in [10], and then provide geometric interpretations of linear combinations of the mean curvature integrals that appear in the Gauss-Bonnet formula for hypersurfaces in space forms M-lambda(n). Then, we combine these results with classical Morse theory to obtain new rotational integral formulae for the k-th mean curvature integrals of a hypersurface in M-lambda(n). (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：116 / 125

页数：10

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