Nonsmooth Differential Geometry-An Approach Tailored for Spaces with Ricci Curvature Bounded from Below

ISBN-13: 9781470427658 / Angielski

Nicola Gigli

Opis

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.

Spis treści

• Introduction
• The machinery of $L^p(\mathfrak)$-normed modules
• First order differential structure of general metric measure spaces
• Second order differential structure of $\mathsf(K,\infty)$ spaces
• Bibliography