Singular levels and topological invariants of Morse Bott integrable systems on surfaces

Author(s)

Martinez-Alfaro, J. ^[1] ; Meza-Sarmiento, I. S. ^[2] ; Oliveira, R. D. S. ^[2]

Affiliation

^[1] Univ Valencia, Dept Matemat Aplicada, E-46100 Burjassot - Spain

^[2] ICMC USP, Dept Matemat, Caixa Postal 668, BR-13566590 Sao Carlos, SP - Brazil

• Document type: Journal article
• Source: Journal of Differential Equations; v. 260, n. 1, p. 688-707, JAN 5 2016.
• Web of Science Citations: 2

Abstract

We classify up to homeomorphisms closed curves and eights of saddle points on orientable closed surfaces. This classification is applied to Morse Bott foliations and Morse Bott integrable systems allowing us to define a complete invariant. We state also a realization Theorem based in two transformations and one generator (the foliation of the sphere with two centers). (C) 2015 Elsevier Inc. All rights reserved. (AU)

• FAPESP's process: 14/00304-2 - Singularities of differentiable mappings: theory and applications
• Grantee: Maria Aparecida Soares Ruas
• Support Opportunities: Research Projects - Thematic Grants