Global Riemannian Geometry

Curvature and Topology

Ana Hurtado, Steen Markvorsen, Maung Min-Oo , Vicente Palmer

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English

Springer Nature Switzerland AG
20 August 2020

Differential & Riemannian geometry; Analytic geometry

Series: Advanced Courses in Mathematics - CRM Barcelona

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.

By: Ana Hurtado, Steen Markvorsen, Maung Min-Oo, Vicente Palmer
Imprint: Springer Nature Switzerland AG
Country of Publication: Switzerland
Edition: 2nd ed. 2020
Dimensions: Height: 240mm, Width: 168mm,
Weight: 454g
ISBN: 9783030552923
ISBN 10: 3030552926
Series: Advanced Courses in Mathematics - CRM Barcelona
Pages: 121
Publication Date: 20 August 2020
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

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.