Geodesic
Extended Derdziński–Shen theorem for curvature tensors
Carlo Alberto Mantica1 ; Luca Guido Molinari2
1 I.I.S. Lagrange Via L. Modignani 65 20161, Milano, Italy
2 Physics Department Università degli Studi di Milano and I.N.F.N. sezione di Milano Via Celoria 16 20133, Milano, Italy
Colloquium Mathematicum, Tome 128 (2012) no. 1, pp. 1-6

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We extend a remarkable theorem of Derdziński and Shen, on the restrictions imposed on the Riemann tensor by the existence of a nontrivial Codazzi tensor. We show that the Codazzi equation can be replaced by a more general algebraic condition. The resulting extension applies both to the Riemann tensor and to generalized curvature tensors.
DOI : 10.4064/cm128-1-1
Keywords: extend remarkable theorem derdzi ski shen restrictions imposed riemann tensor existence nontrivial codazzi tensor codazzi equation replaced general algebraic condition resulting extension applies riemann tensor generalized curvature tensors

Carlo Alberto Mantica 1 ; Luca Guido Molinari 2

1 I.I.S. Lagrange Via L. Modignani 65 20161, Milano, Italy
2 Physics Department Università degli Studi di Milano and I.N.F.N. sezione di Milano Via Celoria 16 20133, Milano, Italy 
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Carlo Alberto Mantica; Luca Guido Molinari. Extended Derdziński–Shen theorem
 for curvature tensors. Colloquium Mathematicum, Tome 128 (2012) no. 1, pp. 1-6. doi: 10.4064/cm128-1-1

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