Lectures on Nonsmooth Differential Geometry: 2 (SISSA Springer Series, 2) - Image 1

£43.00

Springer Lectures on Nonsmooth Differential Geometry: 2 (SISSA Springer Series, 2)

Name: Lectures on Nonsmooth Differential Geometry: 2 (SISSA Springer Series, 2)
Brand: Springer
Price: 43.0 GBP
Availability: InStock

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Description

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 metric measure spaces; normed modules, which constitute a convenient technical tool for the introduction of a robust differential structure in the nonsmooth setting; first-order differential operators and the corresponding functional spaces; the theory of heat flow and its regularizing properties, within the general framework of “infinitesimally Hilbertian” metric measure spaces; the RCD condition and its effects on the behavior of heat flow; and second-order calculus on RCD spaces. The book is mainly intended for young researchers seeking acomprehensive and fairly self-contained introduction to this active research field. The only prerequisites are a basic knowledge of functional analysis, measure theory, and Riemannian geometry.

Product Specifications

Brand: Springer
Format: paperback
ASIN: 3030386155
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis
Domain: Amazon UK
Release Date: 11 February 2021
Listed Since: 15 January 2021

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Springer Lectures on Nonsmooth Differential Geometry: 2 (SISSA Springer Series, 2)

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