Extended Derdziński-Shen theorem for curvature tensors

• Autorzy: Carlo Alberto Mantica , Luca Guido Molinari
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 53B20: Local Riemannian geometry
• 53B21: Methods of Riemannian geometry

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2012
• Tom: 128
• Numer: 1
• Strony: 1-6

Daty

wydano

2012

Twórcy

autor

Carlo Alberto Mantica

• I.I.S. Lagrange, Via L. Modignani 65, 20161, Milano, Italy

autor

Luca Guido Molinari

• Physics Department, Università degli Studi di Milano
• I.N.F.N. sezione di Milano, Via Celoria 16, 20133, Milano, Italy

Identyfikatory

DOI

10.4064/cm128-1-1