Half dimensional collapse of ends of manifolds of nonpositive curvature

Autor:	Avramidi, Grigori, Phan, T. Tam Nguyen
Rok vydání:	2016
Předmět:	Mathematics - Geometric Topology Mathematics - Differential Geometry Mathematics - Metric Geometry
Druh dokumentu:	Working Paper
Popis:	This paper accomplishes two things. First, we construct a geometric analog of the rational Tits building for general noncompact, complete, finite volume $n$-manifolds $M$ of bounded nonpositive curvature. Second, we prove that this analog has dimension less than $\lfloor n/2\rfloor$. Comment: This version is a remake that is significantly different from the older ones. The theorems are mostly the same though the content has been much altered and thus this makes almost a completely different paper. 68 pages, 14 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1608.02185 Zobrazit plný text záznamu View this record from Arxiv