Gauss-Bonnet formulae and rotational integrals in constant curvature spaces
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Gauss-Bonnet formulae and rotational integrals in constant curvature spacesFecha de publicación
2017-02Editor
ElsevierCita bibliográfica
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.Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
http://www.sciencedirect.com/science/article/pii/S0926224516301188Versión
info:eu-repo/semantics/sumittedVersionPalabras clave / Materias
Resumen
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. 50Derechos de acceso
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