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

Nonsmooth Differential Geometry-An Approach Tailored for Spaces with Ricci Curvature Bounded from Below
Author: Nicola Gigli
Publisher: American Mathematical Soc.
Total Pages: 174
Release: 2018-02-23
Genre: Mathematics
ISBN: 1470427656


Download Nonsmooth Differential Geometry-An Approach Tailored for Spaces with Ricci Curvature Bounded from Below Book in PDF, Epub and Kindle

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.


Nonsmooth Differential Geometry-An Approach Tailored for Spaces with Ricci Curvature Bounded from Below
Language: en
Pages: 174
Authors: Nicola Gigli
Categories: Mathematics
Type: BOOK - Published: 2018-02-23 - Publisher: American Mathematical Soc.

GET EBOOK

The author discusses in which sense general metric measure spaces possess a first order differential structure. Building on this, spaces with Ricci curvature bo
Lectures on Nonsmooth Differential Geometry
Language: en
Pages: 212
Authors: Nicola Gigli
Categories: Mathematics
Type: BOOK - Published: 2020-02-10 - Publisher: Springer Nature

GET EBOOK

This book provides an introduction to some aspects of the flourishing field of nonsmooth geometric analysis. In particular, a quite detailed account of the firs
Elliptic PDEs on Compact Ricci Limit Spaces and Applications
Language: en
Pages: 104
Authors: Shouhei Honda
Categories: Mathematics
Type: BOOK - Published: 2018-05-29 - Publisher: American Mathematical Soc.

GET EBOOK

In this paper the author studies elliptic PDEs on compact Gromov-Hausdorff limit spaces of Riemannian manifolds with lower Ricci curvature bounds. In particular
Proceedings Of The International Congress Of Mathematicians 2018 (Icm 2018) (In 4 Volumes)
Language: en
Pages: 5396
Authors: Sirakov Boyan
Categories: Mathematics
Type: BOOK - Published: 2019-02-27 - Publisher: World Scientific

GET EBOOK

The Proceedings of the ICM publishes the talks, by invited speakers, at the conference organized by the International Mathematical Union every 4 years. It cover
A Morse-Bott Approach to Monopole Floer Homology and the Triangulation Conjecture
Language: en
Pages: 174
Authors: Francesco Lin
Categories: Mathematics
Type: BOOK - Published: 2018-10-03 - Publisher: American Mathematical Soc.

GET EBOOK

In the present work the author generalizes the construction of monopole Floer homology due to Kronheimer and Mrowka to the case of a gradient flow with Morse-Bo