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OverviewThis 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 DetailsAuthor: Ana Hurtado , Steen Markvorsen , Maung Min-Oo , Vicente PalmerPublisher: Springer Nature Switzerland AG Imprint: Springer Nature Switzerland AG Edition: 2nd ed. 2020 Weight: 0.454kg ISBN: 9783030552923ISBN 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 We will order this item for you from a manufactured on demand supplier. Language: English Table of ContentsDistance Geometric Analysis on Manifolds (Steen Markvorsen) .- The Dirac Operator in Geometry and Physics (Maung Min-Oo)ReviewsAuthor InformationAna 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. Tab Content 6Author Website:Countries AvailableAll regions |