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math.DG2015
Non-split almost complex and non-split Riemannian supermanifolds
Matthias Kalus
Non-split almost complex supermanifolds and non-split Riemannian supermanifolds are studied. The first obstacle for a splitting is parametrized by group orbits on an infinite dimen…
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…