[en] We show how to lift a Riemannian metric and almost symplectic form on a manifold to a Riemannian structure on a canonically associated supermanifold known as the antitangent or shifted tangent bundle. We view this construction as a generalisation of Sasaki's construction of a Riemannian metric on the tangent bundle of a Riemannian manifold.
Disciplines :
Mathématiques
Auteur, co-auteur :
BRUCE, Andrew ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Co-auteurs externes :
yes
Langue du document :
Anglais
Titre :
The super-Sasaki metric on the antitangent bundle
Date de publication/diffusion :
2020
Titre du périodique :
International Journal of Geometric Methods in Modern Physics
