Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A short proof to the rigidity of volume entropy   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].

36
The categories of this paper are: cmp-lg
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The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
16
The categories of this paper are: stat
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The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
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The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: eess