Global Riemannian Geometry: Curvature and ...

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Sprache: Englisch

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Beschreibung

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.

Über den Autor

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.

Zusammenfassung

Discussion of the Laplacian as a 'swift' operator on minimal submanifolds in ambient spaces with small sectional curvatures

Use of Dirac operators for general relativity

Contains a clear exposition of contemporary topics in modern differential geometry

Inhaltsverzeichnis

Distance Geometric Analysis on Manifolds.- The Dirac Operator in Geometry and Physics.

Details

Erscheinungsjahr:	2020
Fachbereich:	Analysis
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	Advanced Courses in Mathematics - CRM Barcelona
Inhalt:	vii 121 S. 1 s/w Illustr. 121 p. 1 illus.
ISBN-13:	9783030552923
ISBN-10:	3030552926
Sprache:	Englisch
Ausstattung / Beilage:	Paperback
Einband:	Kartoniert / Broschiert
Autor:	Hurtado, Ana Palmer, Vicente Min-Oo, Maung Markvorsen, Steen
Auflage:	2nd ed. 2020
Hersteller:	Springer International Publishing Springer International Publishing AG Advanced Courses in Mathematics - CRM Barcelona
Maße:	240 x 168 x 8 mm
Von/Mit:	Ana Hurtado (u. a.)
Erscheinungsdatum:	20.08.2020
Gewicht:	0,236 kg

Artikel-ID: 118711140