Conţinutul numărului revistei |
Articolul precedent |
Articolul urmator |
710 1 |
Ultima descărcare din IBN: 2022-05-19 00:49 |
SM ISO690:2012 APANASOV, Boris. Bieberbach-Auslander Theorem and Dynamics in Symmetric Spaces. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2003, nr. 3(43), pp. 3-14. ISSN 1024-7696. |
EXPORT metadate: Google Scholar Crossref CERIF DataCite Dublin Core |
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
Numărul 3(43) / 2003 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
|
||||||
Pag. 3-14 | ||||||
|
||||||
Descarcă PDF | ||||||
Rezumat | ||||||
The aim of this paper (my extended contribution to Intern. Conf. on Discrete
Geometry dedicated to A.M.Zamorzaev) is to study dynamics of a discrete isometry
group action in a noncompact symmetric space of rank one nearby its parabolic
fixed points. Due to Margulis Lemma, such an action on corresponding horospheres
is virtually nilpotent, so our extension of the Bieberbach-Auslander theorem for discrete groups acting on connected nilpotent Lie groups can be applied. As result, we
show that parabolic fixed points of a discrete group of isometries of such symmetric
space cannot be conical limit points and that the fundamental groups of geometrically
finite locally symmetric of rank one orbifolds are finitely presented, and the orbifolds
themselves are topologically finite. |
||||||
Cuvinte-cheie Symmetric spaces, negative curvature, discrete groups, Margulis domain, cusp ends |
||||||
|