RT Journal Article
T1 Metric regularity, pseudo-jacobians and global inversion theorems on Finsler manifols
A1 Gutú, Olivia
A1 Jaramillo Aguado, Jesús Ángel
A1 Madiedo Castro, Óscar Reynaldo
AB Our aim in this paper is to study the global invertibility of a locally Lipschitz map f : X → Y between (possibly infinite-dimensional) Finsler manifolds, stressing the connections with covering properties and metric regularity of f. To this end, we introduce a natural notion of pseudo-Jacobian Jf in this setting, as is a kind of set-valued differential object associated to f. By means of a suitable index, we study the relations between properties of pseudo-Jacobian Jf and local metric properties of the map f, which lead to conditions for f to be a covering map, and for f to be globally invertible. In particular, we obtain a version of Hadamard integral condition in this context.
YR 2022
FD 2022-03-01
LK https://hdl.handle.net/20.500.14352/71789
UL https://hdl.handle.net/20.500.14352/71789
LA eng
NO Ministerio de Ciencia e Innovación (MICINN)
DS Docta Complutense
RD 9 abr 2025