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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

SINGULAR LEVELS AND TOPOLOGICAL INVARIANTS OF MORSE-BOTT FOLIATIONS ON NON-ORIENTABLE SURFACES

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Author(s):
Martinez-Alfaro, Jose [1] ; Meza-Sarmiento, Ingrid S. [2] ; Oliveira, Regilene D. S. [3]
Total Authors: 3
Affiliation:
[1] Univ Valencia, Dept Matemat, Burjassot - Spain
[2] UNESP, Dept Matemat, IBILCE, Rua C Colombo 2265, BR-15054000 Sao Jose Do Rio Preto, SP - Brazil
[3] Univ Sao Paulo, ICMC, Dept Matemat, Ave Trabalhador Sao Carlense 400, BR-13566590 Sao Carlos, SP - Brazil
Total Affiliations: 3
Document type: Journal article
Source: TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS; v. 51, n. 1, p. 183-213, MAR 2018.
Web of Science Citations: 0
Abstract

We investigate the classification of closed curves and eight curves of saddle points defined on non-orientable closed surfaces, up to an ambient homeomorphism. The classification obtained here is applied to Morse-Bott foliations on non-orientable closed surfaces in order to define a complete topological invariant. (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