Global Riemannian Geometry: Curvature and Topology

Author:   Ana Hurtado ,  Steen Markvorsen ,  Maung Min-Oo ,  Vicente Palmer
Publisher:   Springer Nature Switzerland AG
Edition:   2nd ed. 2020
ISBN:  

9783030552923


Pages:   121
Publication Date:   20 August 2020
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Global Riemannian Geometry: Curvature and Topology


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Overview

This book contains a clear exposition of two contemporary topics in modern differential geometry: distance geometric analysis on manifolds, in particular, comparison theory for distance functions in spaces which have well defined bounds on their curvature the study of scalar curvature rigidity and positive mass theorems using spinors and the Dirac operator It is intended for both graduate students and researchers. This second edition has been updated to include recent developments such as promising results concerning the geometry of exit time moment spectra and potential analysis in weighted Riemannian manifolds, as well as results pertaining to an early conjecture on the geometry of the scalar curvature and speculations on new geometric approaches to the Index Theorem.

Full Product Details

Author:   Ana Hurtado ,  Steen Markvorsen ,  Maung Min-Oo ,  Vicente Palmer
Publisher:   Springer Nature Switzerland AG
Imprint:   Springer Nature Switzerland AG
Edition:   2nd ed. 2020
Weight:   0.454kg
ISBN:  

9783030552923


ISBN 10:   3030552926
Pages:   121
Publication Date:   20 August 2020
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.
Language:   English

Table of Contents

Distance Geometric Analysis on Manifolds (Steen Markvorsen) .- The Dirac Operator in Geometry and Physics (Maung Min-Oo)

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Ana Hurtado is a professor at the Universidad de Granada. Steen Markvorsen is a professor at the Technical University of Denmark. Maung Min-Oo is emeritus professor at the McMaster University. Vicente Palmer is a professor of Geometry at the University Jaume I.

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