Nullity distributions associated with Chern connection
Youssef, Nabil L. · Elgendi, S. G.
Original · EN
The nullity distributions of the two curvature tensors R and P of the Chern connection of a Finsler manifold are investigated. The completeness of the nullity foliation associated with the nullity distribution is proved. Two counterexamples are given: the first shows that does not coincide with the kernel distribution of R; the second illustrates that is not completely integrable. We give a simple class of a non-Berwaldian Landsberg spaces with singularities.
English translation
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