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.
| ISBN: | 9781470427658 |
| Publication date: | 30th March 2018 |
| Author: | Nicola Gigli |
| Publisher: | American Mathematical Society |
| Format: | Paperback |
| Pagination: | 161 pages |
| Series: | Memoirs of the American Mathematical Society |
| Genres: |
Geometry Topology |