TY - JOUR
T1 - A rigidity theorem for manifolds without conjugate points
AU - Croke, Christopher B.
AU - Kleiner, Bruce
PY - 1998/8
Y1 - 1998/8
N2 - 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 [CrKl1] 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.
AB - 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 [CrKl1] 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.
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U2 - 10.1017/S0143385798108210
DO - 10.1017/S0143385798108210
M3 - Article
AN - SCOPUS:0039835584
SN - 0143-3857
VL - 18
SP - 813
EP - 829
JO - Ergodic Theory and Dynamical Systems
JF - Ergodic Theory and Dynamical Systems
IS - 4
ER -