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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

On Finsler transnormal functions

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Author(s):
Alexandrino, Marcos M. [1] ; Alves, Benigno O. [2] ; Dehkordi, Hengameh R. [2]
Total Authors: 3
Affiliation:
[1] Univ Sao Paulo, Inst Matemat & Estat, Rua Matao 1010, BR-05508090 Sao Paulo - Brazil
[2] Cidade Univ Dom Delgado, Dept Matemat, CCET UFMA, Av Portugueses 1966, BR-65080805 Sao Luis, MA - Brazil
Total Affiliations: 2
Document type: Journal article
Source: DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS; v. 65, p. 93-107, AUG 2019.
Web of Science Citations: 0
Abstract

In this note we discuss a few properties of transnormal Finsler functions, i.e., the natural generalization of distance functions and isoparametric Finsler functions. In particular, we prove that critical level sets of an analytic transnormal function are submanifolds, and the partition of M into level sets is a Finsler partition, when the function is defined on a compact analytic manifold M. (C) 2019 Elsevier B.V. All rights reserved. (AU)

FAPESP's process: 16/23746-6 - Algebraic, topological and analytical techniques in differential geometry and geometric analysis
Grantee:Paolo Piccione
Support type: Research Projects - Thematic Grants