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

Daniel A. Joaquín | Zendy

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A 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 (issn 2208-2409)

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.

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