Riemannian Geometry ( Fields Institute Monographs )

Publication series :Fields Institute Monographs

Author: Miroslav Lovric;Maung Min-oo;McKenzie Y-K Wang  

Publisher: American Mathematical Society‎

Publication year: 1996

E-ISBN: 9781470431310

P-ISBN(Hardback):  9780821802632

Subject: O1 Mathematics

Keyword: 暂无分类

Language: ENG

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Riemannian Geometry

Description

This book is a compendium of survey lectures presented at a conference on Riemannian Geometry sponsored by The Fields Institute for Research in Mathematical Sciences (Waterloo, Canada) in August 1993. Attended by over 80 participants, the aim of the conference was to promote research activity in Riemannian geometry. A select group of internationally established researchers in the field were invited to discuss and present current developments in a selection of contemporary topics in Riemannian geometry. This volume contains four of the five survey lectures presented at the conference. Features: Basic notions of volume and entropy and the difficult and deep relations of these invariants to curvature. $LP$ cohomology, in which the methods combine various areas of mathematics going beyond Riemannian geometry. Curvature inequalities from a general point of view, leading to the study of general spaces.

Chapter

Title page

Contents

Preface

Lecture 1. Volumes and entropies

Lecture 2. Global and local curvatures

Lecture 3. Introduction to 𝐿(²) Betti numbers

Lecture 4. Comparison geometry problem list

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