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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
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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

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