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- W4308167536 abstract "The volume entropy of a compact metric measure space is known to be the exponential growth rate of the measure lifted to its universal cover at infinity. For a compact Riemannian $n$-manifold with a negative lower Ricci curvature bound and a upper diameter bound, it was known that it admits an almost maximal volume entropy if and only if it is diffeomorphic and Gromov-Hausdorff close to a hyperbolic space form. We prove the quantitative rigidity of almost maximal volume entropy for $operatorname{RCD}$-spaces with a negative lower Ricci curvature bound and Riemannian manifolds with a negative $L^p$-integral Ricci curvature lower bound." @default.
- W4308167536 created "2022-11-08" @default.
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- W4308167536 date "2022-11-02" @default.
- W4308167536 modified "2023-10-17" @default.
- W4308167536 title "Quantitative rigidity of almost maximal volume entropy for both RCD spaces and integral Ricci curvature bound" @default.
- W4308167536 doi "https://doi.org/10.48550/arxiv.2211.01082" @default.
- W4308167536 hasPublicationYear "2022" @default.
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