Open AccessA Relationship Between the Curvature Tensor and the Difference Tensor for Affine Hypersurfaces
Author(s) -
Daniel A. Joaquín
Publication year - 2020
Publication title -
journal of advance research in mathematics and statistics
Language(s) - English
Resource type - Journals
ISSN - 2208-2409
DOI - 10.53555/nnms.v7i1.789
Subject(s) - riemann curvature tensor , mathematics , ricci decomposition , tensor density , scalar curvature , tensor contraction , affine transformation , weyl tensor , curvature , pure mathematics , affine connection , tensor field , mathematical analysis , covariant derivative , symmetric tensor , cartesian tensor , tensor (intrinsic definition) , connection (principal bundle) , mathematical physics , exact solutions in general relativity , geometry
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.