University of Mohaghegh ArdabiliJournal of Finsler Geometry and its Applications2783-05002220211201Superconnections and distributions5465136810.22098/jfga.2021.1368ENEsmaeil AzizpourDepartment of Pure Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran. eazizpour@guilan.ac.ir0000-0003-1823-289XDordi Mohammad AtayiDepartment of Pure Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran. dmatayi68@gmail.comJournal Article20210817The 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.https://jfga.uma.ac.ir/article_1368_ae16e0c03683c4547ff2625a006bd2bb.pdf