Abstract
The main result in this paper is the generalisation of the fundamental equations of a Riemannian submersion presented in the 1966 article by O’Neill (Michigan Math J 13:459–469, 1966) to the context of pseudo-Finsler submersions. In the meantime, we also explore some basic properties of the O’Neill fundamental tensors of the submersion and study Finsler submersions with totally geodesic fibers.
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