Lectures on Nonsmooth Differential Geometry

by Enrico Pasqualetto and Nicola Gigli

Book Overview

This book provides an introduction to some aspects of the flourishing field of nonsmooth geometric analysis. In particular, a quite detailed account of the first-order structure of general metric measure spaces is presented, and the reader is introduced to the second-order calculus on spaces - known as RCD spaces - satisfying a synthetic lower Ricci curvature bound. Examples of the main topics covered include notions of Sobolev space on abstract...

• Format: Hardcover
• Language: English
• ISBN: 3030386120
• ISBN13: 9783030386122
• Release Date: February 2020
• Publisher: Springer
• Length: 204 Pages
• Weight: 1.07 lbs.
• Dimensions: 0.6" x 6.1" x 9.2"