Gallot-Tanno theorem for closed incomplete pseudo-Riemannian manifolds and application.
Language
en
Document de travail - Pré-publication
English Abstract
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 ...Read more >
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.Read less <
English Keywords
cone manifold
parallel tensor
projective Lichnerowicz conjecture
Origin
Hal imported