Symmetries of supergeometries related to nonholonomic superdistributions

Abstract

A. We extend Tanaka theory to the context of supergeometry and obtain an upper bound on the supersymmetry dimension of geometric structures related to strongly regular bracket-generating distributions on supermanifolds and their structure reductions.1 We will sometimes refer to a "distribution on a supermanifold" as simply a "superdistribution" for short.