Infinitesimal orbit type theorem for normalizable actions

Autor:	D. Szeghy
Rok vydání:	2014
Předmět:	Pure mathematics Dense set General Mathematics Infinitesimal transformation Infinitesimal Mathematical analysis Lie group Differentiable function Type (model theory) Orbit (control theory) Lie group action Mathematics
Zdroj:	Indagationes Mathematicae. 25:104-112
ISSN:	0019-3577
DOI:	10.1016/j.indag.2013.07.010
Popis:	Let α : G × M → M be a differentiable action of a Lie group G on a connected differentiable manifold M . Assume that the local tube theorem holds at every x ∈ M . Then the following is proved: there is a maximal infinitesimal orbit type, called the principal, such that the union of the orbits belonging to this infinitesimal type is an open and dense set in M .
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::550b1c2ef5fedb77e73db2da27cd6869 https://doi.org/10.1016/j.indag.2013.07.010 Zobrazit plný text záznamu Full Text from ScienceDirect