Superconnections and distributions

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:

distribution‎ , ‎almost product supermanifold‎ , ‎ linear superconnection