Integral geometry and the Gauss-Bonnet theorem in constant curvature spaces

Gil Solanes

doi:10.1090/S0002-9947-05-03828-6

Integral geometry and the Gauss-Bonnet theorem in constant curvature spaces

Gil Solanes^*

^*Autor correspondiente de este trabajo

Producción científica: Contribución a una revista › Artículo › Investigación › revisión exhaustiva

40 Citas (Scopus)

Resumen

We give an integral-geometric proof of the Gauss-Bonnet theorem for hypersurfaces in constant curvature spaces. As a tool, we obtain variation formulas in integral geometry with interest in its own.

Idioma original	Inglés
Páginas (desde-hasta)	1105-1115
Número de páginas	11
Publicación	Transactions of the American Mathematical Society
Volumen	358
N.º	3
DOI	https://doi.org/10.1090/S0002-9947-05-03828-6
Estado	Publicada - mar 2006

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Integral geometry and the Gauss-Bonnet theorem in constant curvature spaces

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