A Ricci flat pseudo-Riemannian metric on the tangent bundle of a Riemannian manifold

Neculai Papaghiuc. "A Ricci flat pseudo-Riemannian metric on the tangent bundle of a Riemannian manifold." Colloquium Mathematicae 87.2 (2001): 227-233. <http://eudml.org/doc/283728>.

@article{NeculaiPapaghiuc2001,
abstract = {We consider a certain pseudo-Riemannian metric G on the tangent bundle TM of a Riemannian manifold (M,g) and obtain necessary and sufficient conditions for the pseudo-Riemannian manifold (TM,G) to be Ricci flat (see Theorem 2).},
author = {Neculai Papaghiuc},
journal = {Colloquium Mathematicae},
keywords = {pseudo-Riemannian manifold; tangent bundle; prolongation of metrics; Ricci flat metric},
language = {eng},
number = {2},
pages = {227-233},
title = {A Ricci flat pseudo-Riemannian metric on the tangent bundle of a Riemannian manifold},
url = {http://eudml.org/doc/283728},
volume = {87},
year = {2001},
}

TY - JOUR
AU - Neculai Papaghiuc
TI - A Ricci flat pseudo-Riemannian metric on the tangent bundle of a Riemannian manifold
JO - Colloquium Mathematicae
PY - 2001
VL - 87
IS - 2
SP - 227
EP - 233
AB - We consider a certain pseudo-Riemannian metric G on the tangent bundle TM of a Riemannian manifold (M,g) and obtain necessary and sufficient conditions for the pseudo-Riemannian manifold (TM,G) to be Ricci flat (see Theorem 2).
LA - eng
KW - pseudo-Riemannian manifold; tangent bundle; prolongation of metrics; Ricci flat metric
UR - http://eudml.org/doc/283728
ER -