A dynamical characterization of universally tight lens spaces

Autor(es)

Hryniewicz, Umberto L. ; Licata, Joan E. ; Salomao, Pedro A. S.

• Tipo de documento: Artigo Científico
• Fonte: PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY; v. 110, p. 57-pg., 2015-01-01.

Resumo

We give necessary and sufficient conditions for a closed connected co-orientable contact 3-manifold (M, xi) to be a standard lens space based on assumptions on the Reeb flow associated to a defining contact form. Our methods also provide rational global surfaces of section for non-degenerate Reeb flows on (L(p, q), xi(std)) with prescribed binding orbits. (AU)

• Processo FAPESP: 11/16265-8 - Dinâmica em baixas dimensões
• Beneficiário: Edson Vargas
• Modalidade de apoio: Auxílio à Pesquisa - Temático