Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8898394 | Differential Geometry and its Applications | 2017 | 10 Pages |
Abstract
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 Mλn. 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 Mλn.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
S. Barahona, X. Gual-Arnau,