| dc.creator | Pires B. | |
| dc.creator | Teixeira M.A. | |
| dc.date | 2012 | |
| dc.date | 2015-06-25T20:24:08Z | |
| dc.date | 2015-11-26T15:19:58Z | |
| dc.date | 2015-06-25T20:24:08Z | |
| dc.date | 2015-11-26T15:19:58Z | |
| dc.date.accessioned | 2018-03-28T22:29:27Z | |
| dc.date.available | 2018-03-28T22:29:27Z | |
| dc.identifier | | |
| dc.identifier | Bulletin Of The Brazilian Mathematical Society. , v. 43, n. 4, p. 637 - 653, 2012. | |
| dc.identifier | 16787544 | |
| dc.identifier | 10.1007/s00574-012-0030-2 | |
| dc.identifier | http://www.scopus.com/inward/record.url?eid=2-s2.0-84869124618&partnerID=40&md5=72e4f1a3d047a60898551ea098d3233d | |
| dc.identifier | http://www.repositorio.unicamp.br/handle/REPOSIP/90161 | |
| dc.identifier | http://repositorio.unicamp.br/jspui/handle/REPOSIP/90161 | |
| dc.identifier | 2-s2.0-84869124618 | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1259860 | |
| dc.description | Let φ: ℝ 2 → ℝ 2 be an orientation-preserving C 1 involution such that φ(0) = 0. Let Spc(φ) = {Eigenvalues of Dφ(p) {pipe} p ∈ ℝ 2}. We prove that if Spc(φ) ⊂ ℝ or Spc(φ) ∩ [1, 1 + ε) = ∅ for some ε > 0, then φ is globally C 1 conjugate to the linear involution Dφ(0) via the conjugacy h = (I + Dφ(0)φ)/2,where I: ℝ 2 → ℝ 2 is the identity map. Similarly, we prove that if φ is an orientation-reversing C 1 involution such that φ(0) = 0 and Trace (Dφ(0)Dφ(p) > - 1 for all p ∈ ℝ 2, then φ is globally C 1 conjugate to the linear involution Dφ(0) via the conjugacy h. Finally, we show that h may fail to be a global linearization of φ if the above conditions are not fulfilled. © 2012 Sociedade Brasileira de Matemática. | |
| dc.description | 43 | |
| dc.description | 4 | |
| dc.description | 637 | |
| dc.description | 653 | |
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| dc.language | en | |
| dc.publisher | | |
| dc.relation | Bulletin of the Brazilian Mathematical Society | |
| dc.rights | fechado | |
| dc.source | Scopus | |
| dc.title | On Global Linearization Of Planar Involutions | |
| dc.type | Artículos de revistas | |
