TY - JOUR
T1 - A short proof to the rigidity of volume entropy
AU - Liu, Gang
N1 - Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2011/1
Y1 - 2011/1
N2 - In this note we give a short proof to the rigidity of volume entropy. The result says that for a closed manifold with Ricci curvature bounded from below, if the universal cover has maximal volume entropy, then it is the space form. This theorem was first proved by F. Ledrappier and X. Wang in [1].
AB - In this note we give a short proof to the rigidity of volume entropy. The result says that for a closed manifold with Ricci curvature bounded from below, if the universal cover has maximal volume entropy, then it is the space form. This theorem was first proved by F. Ledrappier and X. Wang in [1].
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U2 - 10.4310/MRL.2011.v18.n1.a11
DO - 10.4310/MRL.2011.v18.n1.a11
M3 - Article
AN - SCOPUS:79952160353
SN - 1073-2780
VL - 18
SP - 151
EP - 153
JO - Mathematical Research Letters
JF - Mathematical Research Letters
IS - 1
ER -