Gauss-Bonnet formulae and rotational integrals in constant curvature spaces
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Title
Gauss-Bonnet formulae and rotational integrals in constant curvature spacesDate
2017-02Publisher
ElsevierBibliographic citation
BARAHONA, S.; GUAL-ARNAU, X. Gauss–Bonnet formulae and rotational integrals in constant curvature spaces. Differential Geometry and its Applications, 2017, vol. 50, p. 116-125.Type
info:eu-repo/semantics/articlePublisher version
http://www.sciencedirect.com/science/article/pii/S0926224516301188Version
info:eu-repo/semantics/sumittedVersionSubject
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 ... [+]
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 View the MathML source 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 View the MathML source Mλn. [-]
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Differential Geometry and its Applications, 2017, vol. 50Rights
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