A RELATIONSHIP BETWEEN THE CURVATURE TENSOR AND THE DIFFERENCE TENSOR FOR AFFINE HYPERSURFACES
DOI:
https://doi.org/10.53555/nnms.v7i1.789Abstract
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
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