Superconnections and distributions

Document Type : Original Article

Authors

1 Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran. eazizpour@guilan.ac.ir

2 Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran. dmatayi68@gmail.com

Abstract

The use of a distribution ‎‎D‎ ‎allows the presence of geometric structures such as almost product ‎structure‎‎,‎‎‎ so that the equivalent of these structures can be seen in ‎tangent ‎super‎manifolds. We define associated ‎adapted ‎linear‎ superconnections‎‎ ‎‎and find all ‎‎linear ‎super‎‎connections‎‎ on the ‎supermanifold ‎‎M ‎adapted to ‎‎D.

Keywords