Reference : The super-Sasaki metric on the antitangent bundle
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/43881
The super-Sasaki metric on the antitangent bundle
English
Bruce, Andrew mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
2020
International Journal of Geometric Methods in Modern Physics
Yes
National
[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.
Researchers
http://hdl.handle.net/10993/43881
10.1142/S0219887820501224

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