3 papers
math.DG2014
A lossless reduction of geodesics on supermanifolds to non-graded differential geometry
Stéphane Garnier, Matthias Kalus
Let be a smooth supermanifold with connection and Batchelor model . From $(\mathcal M,\nabla…
math.DG2012
Integration of vector fields on smooth and holomorphic supermanifolds
Stéphane Garnier, Tilmann Wurzbacher
We give a new and self-contained proof of the existence and unicity of the flow for an arbitrary (not necessarily homogeneous) smooth vector field on a real supermanifold, and exte…
math.DG2011
The geodesic flow on a Riemannian supermanifold
Stéphane Garnier, Tilmann Wurzbacher
We give a natural definition of geodesics on a Riemannian supermanifold and extend the usual geodesic flow defined on the cotangent bundle of the body of the supermanifold, associa…