A second-order identity for the Riemann tensor and applications

Carlo Alberto Mantica, and Luca Guido Molinari. "A second-order identity for the Riemann tensor and applications." Colloquium Mathematicae 122.1 (2011): 69-82. <http://eudml.org/doc/283760>.

@article{CarloAlbertoMantica2011,
abstract = {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.},
author = {Carlo Alberto Mantica, Luca Guido Molinari},
journal = {Colloquium Mathematicae},
language = {eng},
number = {1},
pages = {69-82},
title = {A second-order identity for the Riemann tensor and applications},
url = {http://eudml.org/doc/283760},
volume = {122},
year = {2011},
}

TY - JOUR
AU - Carlo Alberto Mantica
AU - Luca Guido Molinari
TI - A second-order identity for the Riemann tensor and applications
JO - Colloquium Mathematicae
PY - 2011
VL - 122
IS - 1
SP - 69
EP - 82
AB - 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.
LA - eng
UR - http://eudml.org/doc/283760
ER -