Ebook: Nonsmooth Differential Geometry-An Approach Tailored for Spaces with Ricci Curvature Bounded from Below
Author: Nicola Gigli
- Tags: Geometry Differential., Nonsmooth optimization., Spaces of constant curvature.
- Series: Memoirs of the American Mathematical Society Ser.
- Year: 2017
- Publisher: American Mathematical Society
- City: Providence, United States
- Edition: 1
- Language: English
- pdf
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.
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