| Full text | |
| Author(s): |
Braun, Francisco
;
Llibre, Jaume
Total Authors: 2
|
| Document type: | Journal article |
| Source: | PACIFIC JOURNAL OF MATHEMATICS; v. 333, n. 1, p. 18-pg., 2024-11-01. |
| Abstract | |
Let U be simply connected open subset of 2 , and let f : U -> 2 be a local diffeomorphism. We study the global injectivity of f using the planar vector fields of type annular, radial or strip. Our main result enables the unification of proofs for classical results on global injectivity, such as the Hadamard global invertibility theorem and the condition related to the connectedness of the levels sets of one of the coordinates of f . (AU) | |
| FAPESP's process: | 20/14498-4 - Global injectivity of maps and related topics |
| Grantee: | Francisco Braun |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 19/07316-0 - Singularity theory and its applications to differential geometry, differential equations and computer vision |
| Grantee: | Farid Tari |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 23/00376-2 - Global injectivity of maps and related topics |
| Grantee: | Francisco Braun |
| Support Opportunities: | Regular Research Grants |