Half-dimensional collapse of ends of manifolds of nonpositive curvature-Reference-Cited by-同舟云学术

Half-dimensional collapse of ends of manifolds of nonpositive curvature

Published:2019-11-16 Issue:6 Volume:29 Page:1638-1702
ISSN:1016-443X
Container-title:Geometric and Functional Analysis
language:en
Short-container-title:Geom. Funct. Anal.

Author:

Avramidi Grigori,Nguyễn-Phan T. Tâm

Abstract

AbstractThis 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

$$\lfloor n/2\rfloor $$

⌊n/2⌋.

Funder

Max Planck Institute for Mathematics

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology,Analysis

Link

http://link.springer.com/content/pdf/10.1007/s00039-019-00515-2.pdf

Reference7 articles.

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3. P. Eberlein. Geometry of Nonpositively Curved Manifolds. University of Chicago Press, Chicago (1996)

4. M. Gromov. Manifolds of negative curvature. JDG, (2)13 (1978), 223–230.

5. W. Hurewicz and H. Wallman. Dimension Theory, vol. 4. Princeton University Press, Princeton (1948)

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