$RCD(K,N)$空间上的二阶微分公式
Second order differentiation formula on $RCD(K,N)$ spaces
摘要：
证明了有限维$RCD(K,N)$空间中沿测地线的二阶微分公式。我们的方法强烈依赖于近似的$W_2$ -测地线的熵插值，为了实现这种近似过程中，新的证明（即使在光滑设置）估计这样的插值。
英文摘要：
We prove the second order differentiation formula along geodesics in finite-dimensional $RCD(K,N)$ spaces. Our approach strongly relies on the approximation of $W_2$-geodesics by entropic interpolations and, in order to implement this approximation procedure, on the proof of new (even in the smooth setting) estimates for such interpolations.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
