Revista Integración, temas de matemáticas.
Vol. 26 No. 1 (2008): Revista Integración, temas de matemáticas
Research and Innovation Articles

Sobre la curvatura escalar de S2 × S2

Claudia Granados Pinzón
Bio

Published 2008-02-29

Keywords

  • vector field,
  • Levi Civita connection,
  • curvature tensor and scalar curvature

How to Cite

Granados Pinzón, C. (2008). Sobre la curvatura escalar de S2 × S2. Revista Integración, Temas De matemáticas, 26(1), 23–28. Retrieved from https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/54

Abstract

In this paper we will show an alternative form to find the curvature tensor of S2 × S2, in order to use it in the calculation of the scalar curvature at any given point of this riemannian manifold. 

 

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References

[1] M. Do Carmo, Riemannian Geometry. Birkhauser, Boston, 1992.

[2] N. Prakash. Differential Geometry an Integrated Approach. Tata McGraw-Hill Publishing Company Limited, New Delhi, 1993.