Hostname: page-component-78c5997874-m6dg7 Total loading time: 0 Render date: 2024-11-03T00:16:32.022Z Has data issue: false hasContentIssue false
  • English
  • Français

A rigidity theorem for manifolds without conjugate points

Published online by Cambridge University Press:  01 August 1998

CHRISTOPHER B. CROKE  and
BRUCE KLEINER
CHRISTOPHER B. CROKE
Affiliation:
Department of Mathematics, University of Pennsylvania, Philadelphia, PA 19104-6317, USA
BRUCE KLEINER
Affiliation:
Department of Mathematics, University of Utah, Salt Lake City, UT 84112, USA
Get access Rights & Permissions [Opens in a new window]

Abstract

In this paper we show that some nonsimply connected manifolds without conjugate points exhibit rigidity phenomena similar to that studied in [BGS, section I.5]. This is a companion paper to [Cr-Kl1] that deals with the simply connected case. In particular, we show that one cannot make a nontrivial, compactly supported, change to a complete flat metric without introducing conjugate points.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 18 , Issue 4 , August 1998 , pp. 813 - 829
Copyright
© 1998 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)