Extended Holonomy and Topological Invariance of Vanishing Holonomy Group

Autor:	E. Rosales-González, L. Ortiz-Bobadilla, S. M. Voronin
Rok vydání:	2008
Předmět:	Numerical Analysis Control and Optimization Algebra and Number Theory Control and Systems Engineering Group (mathematics) Holonomy Zero (complex analysis) Vector field Mathematics::Differential Geometry Topological conjugacy Topology Topological equivalence Mathematics
Zdroj:	Journal of Dynamical and Control Systems. 14:299-358
ISSN:	1573-8698 1079-2724
DOI:	10.1007/s10883-008-9041-0
Popis:	In this work, we introduce the notion of extended holonomy and discuss some of its properties. As an application of it, we consider vanishing projective holonomy groups of germs of vector fields with zero (n???1)-jet and prove, under some genericity assumptions, that the corresponding vanishing holonomy groups are topologically conjugated for orbitally topologically equivalent germs of vector fields.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::2844ef8ef72051fd5ec7da6f63eb3fed https://doi.org/10.1007/s10883-008-9041-0 Zobrazit plný text záznamu Full text from SpringerLink