On equifocal Finsler submanifolds and analytic maps

Alexandrino, Marcos M.; Alves, Benigno O.; Javaloyes Victoria, Miguel Ángel

Publication:
On equifocal Finsler submanifolds and analytic maps

dc.contributor.author	Alexandrino, Marcos M.
dc.contributor.author	Alves, Benigno O.
dc.contributor.author	Javaloyes Victoria, Miguel Ángel
dc.contributor.department	Matemáticas
dc.date.accessioned	2025-01-30T16:19:17Z
dc.date.available	2025-01-30T16:19:17Z
dc.date.issued	2023-08-23
dc.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.	es
dc.description.uri	© 2023, The Author(s). This manuscript version is made available under the CC-BY 4.0 license http://creativecommons.org/licenses/by/4.0/ This document is the Published Manuscript version of a Published Work that appeared in final form in Israel Journal of Mathematics. To access the final edited and published work see https://doi.org/10.1007/s11856-023-2524-6
dc.format	application/pdf	es
dc.format.extent	35	es
dc.identifier.citation	Israel Journal of Mathematics, 2024, Vol. 259, pp. 203-237
dc.identifier.doi	https://doi.org/10.1007/s11856-023-2524-6
dc.identifier.issn	Print: 0021-2172
dc.identifier.issn	Electronic: 1565-8511
dc.identifier.uri	http://hdl.handle.net/10201/149764
dc.language	eng	es
dc.publisher	Springer
dc.relation	The first and second authors were supported by Fundação de Amparo a Pesquisa do Estado de São Paulo-FAPESP (Tematicos: 2016/23746-6). The second author was supported by CNPq (PhD fellowship) and partially supported by PDSE- Capes (PhD sandwich program). The third author was partially supported by the project PGC2018-097046-B-I00 funded by MCIN/ AEI /10.13039/501100011033/ FEDER “Una manera de hacer Europa” and Fundación Séneca project with reference 19901/GERM/15. This work is a result of the activity developed within the framework of the Programme in Support of Excellence Groups of the Región de Murcia, Spain, by Fundación Séneca, Science and Technology Agency of the Región de Murcia.	es
dc.relation.publisherversion	https://link.springer.com/article/10.1007/s11856-023-2524-6
dc.rights	info:eu-repo/semantics/openAccess	es
dc.rights	Atribución 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/	*
dc.title	On equifocal Finsler submanifolds and analytic maps	es
dc.type	info:eu-repo/semantics/article	es
dspace.entity.type	Publication	es