Invariants and Flatness Criteria on an Almost Lagrangian Supermanifolds

Abstract

We studied Bianchi identities on distinguished ssuperconnections [4] and superconnections on an almost Lagrangian supermanifolds [3]. In this paper we studied to set up the necessary machinery to determine when an almost Lagrangian supermanifolds is flat with respect to a given scale and defined bilinear form which is a scale invariant.