论文标题
较低$ n $ - 加权的RICCI曲率与$ \ varepsilon $ range and-range and Exuncement indevexity intopies
Lower $N$-weighted Ricci curvature bound with $\varepsilon$-range and displacement convexity of entropies
论文作者
论文摘要
In the present article, we provide a characterization of a lower $N$-weighted Ricci curvature bound for $N \in ]-\infty,1]\cup[n,+\infty]$ with $\varepsilon$-range introduced by Lu-Minguzzi-Ohta in terms of a convexity of entropies over Wasserstein space.我们进一步得出了各种插值不平等和功能不平等。
In the present article, we provide a characterization of a lower $N$-weighted Ricci curvature bound for $N \in ]-\infty,1]\cup[n,+\infty]$ with $\varepsilon$-range introduced by Lu-Minguzzi-Ohta in terms of a convexity of entropies over Wasserstein space. We further derive various interpolation inequalities and functional inequalities.
