Automorphism Supergroups Of Supermanifolds
Differential Geometry
2015-04-13 v1
Abstract
A classical theorem states that the group of automorphisms of a manifold preserving a -structure of finite type is a Lie group. We generalize this statement to the category of manifolds and give some examples, some of which being generalizations of classical notions, others being particular to the super case. Notably, we have to introduce a new notion of supermanifolds which we call mixed supermanifolds.
Cite
@article{arxiv.1504.02653,
title = {Automorphism Supergroups Of Supermanifolds},
author = {Dominik Ostermayr},
journal= {arXiv preprint arXiv:1504.02653},
year = {2015}
}