A RIGIDITY THEOREM FOR MANIFOLDS WITHOUT CONJUGATE-POINTS

Authors
CROKE CB KLEINER B
Citation
Cb. Croke et B. Kleiner, A RIGIDITY THEOREM FOR MANIFOLDS WITHOUT CONJUGATE-POINTS, Ergodic theory & dynamical systems, 18, 1998, pp. 813-829
Citations number
16
Categorie Soggetti
Mathematics,Mathematics
Journal title
Ergodic theory & dynamical systems → ACNP
ISSN journal
01433857
Volume
18
Year of publication
1998
Part
4
Pages
813 - 829
Database
ISI
SICI code
0143-3857(1998)18:<813:ARTFMW>2.0.ZU;2-Y
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 [CrKI1] that deals w ith the simply connected case. In particular, we show that one cannot make a nontrivial, compactly supported, change to a complete flat metr ic without introducing conjugate points.