A Relationship Between the Curvature Tensor and the Difference Tensor for Affine Hypersurfaces

Authors

  • Daniel A. Joaquín Departamento de Matemática, Fac. de Cs. Exs., Fis. y Nat., Universidad Nacional de Córdoba Avda. Velez Sarsfield 299, 5000 Córdoba, ARGENTINA

DOI:

https://doi.org/10.53555/nnms.v7i1.789

Abstract

In the present work, it is obtained a class of hypersurfaces, of decomposable type, for which the curvature tensor associated to the affine normal connection, and the Levi-Civita covariant derivative of the difference tensor, are scalar multiples each other.

References

. K. Nomizu and T. Sasaki, Affine Differential Geometry, Cambridge University Press,

(1994).

. D. Joaquín, Manifolds with Integrable Affine Shape Operator, Le Matematiche, Vol. LX

(2005) - Fasc. 1, pp. 13 - 27.

. S. Gigena, D. Joaquín, On affine hypersurfaces with constant sectional curvature. Math.

Notae. (1997/98), 63-81.

Published

2020-01-31

Issue

Vol. 7 No. 1 (2020): Journal of Advance Research in Mathematics And Statistics (ISSN: 2208-2409)

Section

Research Article

License

Copyright (c) 2020 Journal of Advance Research in Mathematics And Statistics (ISSN: 2208-2409)

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How to Cite

Joaquín, D. A. (2020). A Relationship Between the Curvature Tensor and the Difference Tensor for Affine Hypersurfaces. Journal of Advance Research in Mathematics and Statistics (ISSN 2208-2409), 7(1), 01-05. https://doi.org/10.53555/nnms.v7i1.789