Open Access
January, 2005 The asymptotic cones of manifolds of roughly non-negative radial curvature
Yukihiro MASHIKO, Koichi NAGANO, Kazuo OTSUKA
J. Math. Soc. Japan 57(1): 55-68 (January, 2005). DOI: 10.2969/jmsj/1160745813

Abstract

We prove that the asymptotic cone of every complete, connected, non-compact Riemannian manifold of roughly non-negative radial curvature exists, and it is isometric to the Euclidean cone over their Tits ideal boundaries.

Citation

Download Citation

Yukihiro MASHIKO. Koichi NAGANO. Kazuo OTSUKA. "The asymptotic cones of manifolds of roughly non-negative radial curvature." J. Math. Soc. Japan 57 (1) 55 - 68, January, 2005. https://doi.org/10.2969/jmsj/1160745813

Information

Published: January, 2005
First available in Project Euclid: 13 October 2006

zbMATH: 1075.53028
MathSciNet: MR2114720
Digital Object Identifier: 10.2969/jmsj/1160745813

Subjects:
Primary: 53C20

Keywords: Alexandrov spaces , asymptotic cones , comparison geometry , Tits ideal boundary

Rights: Copyright © 2005 Mathematical Society of Japan

Vol.57 • No. 1 • January, 2005
Back to Top