Extended Derdziński-Shen theorem for curvature tensors

Carlo Alberto Mantica, and Luca Guido Molinari. "Extended Derdziński-Shen theorem for curvature tensors." Colloquium Mathematicae 128.1 (2012): 1-6. <http://eudml.org/doc/283929>.

@article{CarloAlbertoMantica2012,
abstract = {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.},
author = {Carlo Alberto Mantica, Luca Guido Molinari},
journal = {Colloquium Mathematicae},
keywords = {Riemannian curvature tensor; generalized curvature tensor; Codazzi tensor},
language = {eng},
number = {1},
pages = {1-6},
title = {Extended Derdziński-Shen theorem for curvature tensors},
url = {http://eudml.org/doc/283929},
volume = {128},
year = {2012},
}

TY - JOUR
AU - Carlo Alberto Mantica
AU - Luca Guido Molinari
TI - Extended Derdziński-Shen theorem for curvature tensors
JO - Colloquium Mathematicae
PY - 2012
VL - 128
IS - 1
SP - 1
EP - 6
AB - 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.
LA - eng
KW - Riemannian curvature tensor; generalized curvature tensor; Codazzi tensor
UR - http://eudml.org/doc/283929
ER -