Autor:	Lin, Yi, Miyamoto, David
Rok vydání:	2023
Předmět:	Mathematics - Differential Geometry Primary 57S25 Secondary 57R91
Druh dokumentu:	Working Paper
Popis:	It is well known that, by the Reeb stability theorem, the leaf space of a Riemannian foliation with compact leaves is an orbifold. We prove that, under mild completeness conditions, the leaf space of a Killing Riemannian foliation is a diffeological quasifold: as a diffeological space, it is locally modelled by quotients of Cartesian space by countable groups acting affinely. Furthermore, we prove that the holonomy groupoid of the foliation is, locally, Morita equivalent to the action groupoid of a countable group acting affinely on Cartesian space. Comment: 34 pages. v2 includes an extra example (Sasakian manifolds). To appear in Mathematische Zeitschrift
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2309.15166 Zobrazit plný text záznamu View this record from Arxiv