On characterization of Riemannian manifolds

Iván Tribuzy; Víctor Ayala; Marcos M. Diniz; José M.M. Veloso

On characterization of Riemannian manifolds

Iván Tribuzy
, Víctor Ayala
, Marcos M. Diniz
, José M.M. Veloso

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

Resumen

This survey, present some results about characterization of Riemannian manifolds by using notions of convexity. The first part deals with immersed manifolds and the second part gives a characterization for the Euclidean space and for the Euclidean sphere.

Idioma original	Inglés
Páginas (desde-hasta)	113-144
Número de páginas	32
Publicación	Proyecciones
Volumen	27
N.º	2
Estado	Publicada - ago. 2008
Publicado de forma externa	Sí

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title = "On characterization of Riemannian manifolds",

abstract = "This survey, present some results about characterization of Riemannian manifolds by using notions of convexity. The first part deals with immersed manifolds and the second part gives a characterization for the Euclidean space and for the Euclidean sphere.",

keywords = "Axiomatic geometry, Convexity, Geodesics, Isosceles triangles",

author = "Iv{\'a}n Tribuzy and V{\'i}ctor Ayala and Diniz, \{Marcos M.\} and Veloso, \{Jos{\'e} M.M.\}",

year = "2008",

month = aug,

language = "English",

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journal = "Proyecciones",

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AU - Tribuzy, Iván

AU - Ayala, Víctor

AU - Diniz, Marcos M.

AU - Veloso, José M.M.

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N2 - This survey, present some results about characterization of Riemannian manifolds by using notions of convexity. The first part deals with immersed manifolds and the second part gives a characterization for the Euclidean space and for the Euclidean sphere.

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KW - Axiomatic geometry

KW - Convexity

KW - Geodesics

KW - Isosceles triangles

UR - https://www.scopus.com/pages/publications/56149123443

M3 - Article

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SN - 0716-0917

VL - 27

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ER -

On characterization of Riemannian manifolds

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