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Detalles Bibliográficos
Autores principales: Abelgas, Aizelle, Carrillo, Bryan, Palacios, John, Weisbart, David, Yassine, Adam
Formato: Preprint
Publicado: 2020
Materias:
Acceso en línea:https://arxiv.org/abs/2009.06755
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  • A version of the classical Buffon problem in the plane naturally extends to the setting of any Riemannian surface with constant Gaussian curvature. The Buffon probability determines a Buffon deficit. The relationship between Gaussian curvature and the Buffon deficit is similar to the relationship that the Bertrand-Diguet-Puiseux Theorem establishes between Gaussian curvature and both circumference and area deficits.