Publication: On equifocal Finsler submanifolds and analytic maps
Authors
Alexandrino, Marcos M. ; Alves, Benigno O. ; Javaloyes Victoria, Miguel Ángel
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Publisher
Springer
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DOI
https://doi.org/10.1007/s11856-023-2524-6
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info:eu-repo/semantics/article
Description
Abstract
A relevant property of equifocal submanifolds is that their parallel sets are still immersed submanifolds, which makes them a natural generalization of the so-called isoparametric submanifolds. In this paper, we prove that the regular fibers of an analytic map π : M^{m+k} → B^k are equifocal whenever M^{m+k} is endowed with a complete Finsler metric and there is a restriction of π which is a Finsler submersion for a certain Finsler metric on the image. In addition, we prove that when the fibers provide a singular foliation on M^{m+k}, then this foliation is Finsler.
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Citation
Israel Journal of Mathematics, 2024, Vol. 259, pp. 203-237
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