On the 11-homogeneous non-linear connections

Esmaeil AzizpourSeddighe DarsaraeiSeyed Sajjad Pourmortazavi



In this paper, we show that for every semispray SS on a vector bundle (R×TM,π,R×M),(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,S, which guarantee that a sequence of nonlinear connections associated to SS is constant. We show that the homogeneity condition for SS yields the result.

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Azizpour, Esmaeil, Darsaraei, Seddighe, Pourmortazavi, Seyed Sajjad