A second-order identity for the Riemann tensor and applications

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

Abstrakty

EN

A second-order differential identity for the Riemann tensor is obtained on a manifold with a symmetric connection. Several old and some new differential identities for the Riemann and Ricci tensors are derived from it. Applications to manifolds with recurrent or symmetric structures are discussed. The new structure of K-recurrency naturally emerges from an invariance property of an old identity due to Lovelock.

Kategorie tematyczne

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

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2011
• Tom: 122
• Numer: 1
• Strony: 69-82

Daty

wydano

2011

Twórcy

autor

Carlo Alberto Mantica

• Physics Department, Università degli Studi di Milano, Via Celoria 16, 20133 Milano, Italy

autor

Luca Guido Molinari

• Physics Department, Università degli Studi di Milano, Via Celoria 16, 20133 Milano, Italy

Identyfikatory

DOI

10.4064/cm122-1-7