In this paper, we show that for every semispray S on a vector bundle (R × TM, π, R × M), there are several sequences of semisprays and correspondingly several nonlinear connections associated to it. It is important to derive conditions on S, which guarantee that a sequence of nonlinear connections associated to S is constant. We show that the homogeneity condition for S yields the result.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.