Gauss-Bonnet formulae and rotational integrals in constant curvature spaces
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Gauss-Bonnet formulae and rotational integrals in constant curvature spacesData de publicació
2017-02Editor
ElsevierCita bibliogràfica
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.Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
http://www.sciencedirect.com/science/article/pii/S0926224516301188Versió
info:eu-repo/semantics/sumittedVersionParaules clau / Matèries
Resum
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. 50Drets d'accés
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