Publication
On the area-preserving Domain-Straightening Theorem
| dc.contributor.author | Bessa, Mário | |
| dc.contributor.author | Morais, Pedro | |
| dc.date.accessioned | 2023-05-31T10:40:28Z | |
| dc.date.available | 2023-05-31T10:40:28Z | |
| dc.date.issued | 2021 | |
| dc.description.abstract | O clássico teorema da retificação do domínio no plano garante que, sob determinadas condições de não degeneracidade da derivada da função f : R^2 ---> R num ponto p existem abertos U e V de R2, p \in V e um difeomorfismo h: U ---> V tal que foh tem todas as suas curvas de nível em h−1(V ) contidas em retas. Provamos que tal deformação h pode ser feita preservando a área. | pt_PT |
| dc.description.abstract | The classical Domain-Straightening Theorem on the plane says that under a non-degeneracy condition on the derivative of a map f : R 2 → R in a point p there exists a neighborhood V ⊂ R 2 of p, U ⊂ R 2 and a diffeomorphism h: U → V such that f ◦ h has all level curves in h −1 (V) defined by straight lines. We prove that such deformation h can be made area-preserving. | pt_PT |
| dc.description.sponsorship | The authors were partially supported by FCT - ‘Fundação para a Ciência e a Tecnologia’, through Centro de Matemática e Aplicações (CMA-UBI), Universidade da Beira Interior, project UID/00212/2020. MB was partially supported by the Project ‘New trends in Lyapunov exponents’ (PTDC/MAT-PUR/29126/2017). MB also like to thank CMUP for providing the necessary conditions in which this work was developed. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.citation | M. Bessa, P. Morais, On the area-preserving Domain-Straightening Theorem, Boletim da Sociedade Portuguesa de Matemática, 79, 2021 | pt_PT |
| dc.identifier.uri | http://hdl.handle.net/10400.2/13921 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | Sociedade Portuguesa de Matemática (SPM) | pt_PT |
| dc.relation.publisherversion | https://revistas.rcaap.pt/boletimspm/article/view/28999 | pt_PT |
| dc.subject | Teorema da retificação do domínio | pt_PT |
| dc.subject | Fluxos que preservam a área | pt_PT |
| dc.subject | Teoremas de caixa de fluxo | pt_PT |
| dc.subject | Domain-Straightening Theorem | pt_PT |
| dc.subject | Area-preserving flows | pt_PT |
| dc.subject | Flowbox theorems | pt_PT |
| dc.title | On the area-preserving Domain-Straightening Theorem | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/3599-PPCDT/PTDC%2FMAT-PUR%2F29126%2F2017/PT | |
| oaire.citation.endPage | 70 | pt_PT |
| oaire.citation.startPage | 65 | pt_PT |
| oaire.citation.title | Boletim da Sociedade Portuguesa de Matemática | pt_PT |
| oaire.citation.volume | 79 | pt_PT |
| oaire.fundingStream | 3599-PPCDT | |
| person.familyName | Bessa | |
| person.givenName | Mário | |
| person.identifier | https://scholar.google.com/citations?user=088yCR4AAAAJ&hl=pt-PT | |
| person.identifier.ciencia-id | C21A-EEC0-A3EF | |
| person.identifier.orcid | 0000-0002-1758-2225 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| rcaap.rights | openAccess | pt_PT |
| rcaap.type | article | pt_PT |
| relation.isAuthorOfPublication | 2dd300f3-9f00-49de-9333-78ec0511220e | |
| relation.isAuthorOfPublication.latestForDiscovery | 2dd300f3-9f00-49de-9333-78ec0511220e | |
| relation.isProjectOfPublication | 3dfe3562-55de-40f9-9e23-0c6baa0f17bf | |
| relation.isProjectOfPublication.latestForDiscovery | 3dfe3562-55de-40f9-9e23-0c6baa0f17bf |