On characterization of riemannian manifolds

Authors

  • Iván Tribuzy Universidade Federal do Amazonas.
  • Víctor Ayala Universidad Católica del Norte.
  • Marco Diniz Universidade Federal do Pará.
  • José M. M. Veloso Universidade Federal do Pará.

DOI:

https://doi.org/10.4067/S0716-09172008000200001

Keywords:

Geodesics, convexity, axiomatic geometry, isosceles triangles, geodésicas, convexidad, geometría axiomática, triángulos isosceles.

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.

Author Biographies

Iván Tribuzy, Universidade Federal do Amazonas.

Departamento de Matemática.

Víctor Ayala, Universidad Católica del Norte.

Departamento de Matemáticas.

Marco Diniz, Universidade Federal do Pará.

Departamento de Matemática.

José M. M. Veloso, Universidade Federal do Pará.

Departamento de Matemática.

References

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Published

2017-05-02

How to Cite

[1]
I. Tribuzy, V. Ayala, M. Diniz, and J. M. M. Veloso, “On characterization of riemannian manifolds”, Proyecciones (Antofagasta, On line), vol. 27, no. 2, pp. 113-144, May 2017.

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Artículos