Sur la dynamique hamiltonienne et les actions symplectiques de groupes

Autor: Sarkis Atallah, Marcelo

Cette thèse contient quatre articles qui étudient les phénomènes de rigidité des transforma- tions hamiltoniennes des variétés symplectiques. Le premier article, rédigé en collaboration avec Egor Shelukhin, examine les obstructions à l’ex

Externí odkaz: http://hdl.handle.net/1866/33834
https://orcid.org/0000-0001-8890-487X

Lyapunov graphs for circle valued functions

Autor: Ketty A. de Rezende, Gioia M. Vago, Guido G. E. Ledesma, Oziride Manzoli-Neto

Publikováno v: Topology and its Applications
Topology and its Applications, Elsevier, 2018, 245, pp.62-91. ⟨10.1016/j.topol.2018.06.008⟩
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP

International audience; Conley index theory is used to obtain results for flows associated to circular Lyapunov functions defined on general compact smooth n-manifolds. This is done in terms of their underlying circular Lyapunov digraphs, which are g

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6afb1f00c498968cf9b86162696b0961
https://hal.archives-ouvertes.fr/hal-01997460

Teoria de Morse-Novikov e seus aspectos dinâmicos

Autor: Raphael, Lucas

Publikováno v: Repositório Institucional da UFABCUniversidade Federal do ABCUFABC.

Orientadora: Profa. Dra. Mariana Rodrigues da Silveira
Dissertação (mestrado) - Universidade Federal do ABC, Programa de Pós-Graduação em Matemática, 2018.
A Teoria de Morse é baseada na obtenção de informações topológicas de u

Externí odkaz: http://www.biblioteca.ufabc.edu.brhttp://biblioteca.ufabc.edu.br/index.php?codigo_sophia=109183

Closed 1-forms with at most one zero

Autor: Michael Farber, Dirk Schütz

Publikováno v: Topology. 45(3):465-473

We prove that in any nonzero cohomology class ξ∈H1(M;R) there always exists a closed 1-form having at most one zero.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a7007a714852d357dc4e79203f7f631e

The s-cobordism theorem seen as a particular case of Latour's theorem

Autor: Ferrandiz, Carlos Moraga

We show how Latour's theorem can be understood as a natural generalization of the $ s $-cobordism theorem for cohomology classes $ u\in H^1(M;\mathbb{R}) $. The $ s $-cobordism theorem becomes a special degenerate case when $ u=0 $.
6 pages

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b5692b8dc3e42786fdd8205e385dce6c
https://hal.archives-ouvertes.fr/hal-00915569v2/file/s-cob+Latour.Ene.pdf