On curvature tensors of non-symmetric affine connection | Zendy

Svetislav M. Minčić | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

On curvature tensors of non-symmetric affine connection

Author(s) -

Svetislav M. Minčić

Publication year - 2005

Publication title -

acta et commentationes universitatis tartuensis de mathematica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.276

H-Index - 6

eISSN - 2228-4699

pISSN - 1406-2283

DOI - 10.12697/acutm.2005.09.03

Subject(s) - connection (principal bundle) , affine connection , curvature , pure mathematics , riemann curvature tensor , mathematics , affine transformation , curvature form , manifold (fluid mechanics) , differentiable function , ricci curvature , mathematical analysis , sectional curvature , scalar curvature , geometry , mechanical engineering , engineering

M. Prvanović [1], using polylinear mappings, has obtained four curvature tensors of non-symmetric affine connection on a differentiable manifold. In the present work we obtain eight new curvature tensors of this connection (Theorem 1) and prove that among these twelve curvature tensors only five are independent, and the others can be expressed in terms of them (Theorem 2).

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research