Extended Holonomy and Topological Invariance of Vanishing Holonomy Group

Springer Science and Business Media LLC - Tập 14 - Trang 299-358 - 2008
L. Ortiz-Bobadilla1, E. Rosales-González1, S. M. Voronin2
1Instituto de Matemáticas, Universidad Nacional Autónoma de México Area de la investigación científica, México City, México
2Departament of Mathematics, Chelyabinsk State University, Chelyabinsk, Russia

Tóm tắt

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.

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Springer Science and Business Media LLC

Tập 14

299-358

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