TY - JOUR
T1 - A rigidity theorem for simply connected manifolds without conjugate points
AU - Croke, Christopher B.
AU - Kleiner, Bruce
PY - 1998/8
Y1 - 1998/8
N2 - In this paper we show that manifolds without conjugate points exhibit rigidity phenomena similar to that studied in [BGS, Section I.5]. The main theorem is that if M = X × R is given the Riemannian product metric g, then any metric without conjugate points on M which agrees with g outside a compact set is isometric to g.
AB - In this paper we show that manifolds without conjugate points exhibit rigidity phenomena similar to that studied in [BGS, Section I.5]. The main theorem is that if M = X × R is given the Riemannian product metric g, then any metric without conjugate points on M which agrees with g outside a compact set is isometric to g.
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U2 - 10.1017/S0143385798124628
DO - 10.1017/S0143385798124628
M3 - Article
AN - SCOPUS:0032336007
SN - 0143-3857
VL - 18
SP - 807
EP - 812
JO - Ergodic Theory and Dynamical Systems
JF - Ergodic Theory and Dynamical Systems
IS - 4
ER -