Gallot-Tanno theorem for closed incomplete pseudo-Riemannian manifolds and application.
Langue
en
Document de travail - Pré-publication
Résumé en anglais
In this article we extend the Gallot-Tanno theorem to closed pseudo-Riemannian manifolds. It is done by showing that if the cone over such a manifold admits a parallel symmetric $2$-tensor then it is incomplete and has non ...Lire la suite >
In this article we extend the Gallot-Tanno theorem to closed pseudo-Riemannian manifolds. It is done by showing that if the cone over such a manifold admits a parallel symmetric $2$-tensor then it is incomplete and has non zero constant curvature. An application of this result to the existence of metrics with distinct Levi-Civita connections but having the same unparametrized geodesics is given.< Réduire
Mots clés en anglais
cone manifold
parallel tensor
projective Lichnerowicz conjecture
Origine
Importé de halUnités de recherche