2022/08/09 by Huber, Matthieu, Victoria, Miguel Ángel Javaloyes
#53B30 #53B40 #53C60 #Differential Geometry (math.DG) #FOS: Mathematics
paper · doi:10.48550/arxiv.2208.04839
The main result in this paper is the generalisation of the fundamental equations of a Riemannian submersion presented in the 1966 article by Barrett O'Neill 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.