Local structural stability of actions of R-n on n-manifolds

Author(s)

Arraut, J. L. ; Maquera, Carlos

• Document type: Journal article
• Source: BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA; v. 24, n. 1-2, p. 10-pg., 2006-01-01.

Abstract

Let M-m be a compact m-manifold and phi : R-n x M-m -> M-m a C-r, r >= 1, action with infinitesimal generators of class C-r. We introduce the concept of transversally hyperbolic singular orbit for an action phi and explore this concept in its relations to stability. Our main result says that if m = n and O-p is a compact singular orbit of phi that is transversally hyperbolic, then phi is C-1 locally structurally stable at O-p. (AU)

• FAPESP's process: 00/05385-8 - Algebraic, geometric and differential topology
• Grantee: Daciberg Lima Gonçalves
• Support Opportunities: Research Projects - Thematic Grants