Nonsmooth differential geometry-an approach tailored for spaces with Ricci curvature bounded from below
著者
書誌事項
Nonsmooth differential geometry-an approach tailored for spaces with Ricci curvature bounded from below
（Memoirs of the American Mathematical Society, no. 1196）
American Mathematical Society, c2017
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注記
Includes bibliographical references (p. 159-161)
January 2018, volume 251, number 1196 (third of 6 numbers)
内容説明・目次
内容説明
The author discusses in which sense general metric measure spaces possess a first order differential structure. Building on this, spaces with Ricci curvature bounded from below a second order calculus can be developed, permitting the author to define Hessian, covariant/exterior derivatives and Ricci curvature.
目次
Introduction
The machinery of $L^p(\mathfrak{m})$-normed modules
First order differential structure of general metric measure spaces
Second order differential structure of $\mathsf{RCD}(K,\infty)$ spaces
Bibliography
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