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OverviewThis is a collection of lectures designed to promote research activity in Riemannian geometry by a select group of internationally established researchers. They discuss and present current developments in a selection of contemporary topics in Riemannian geometry including: basic notions of volume and entropy and the difficult and deep relations of these invariants to curvature; a survey of recent results on the flexibility of negative Ricci and scalar curvatures; LP cohomology; and curvature inequalities. Full Product DetailsAuthor: Gerard Besson , Joachim Lohkamp , Pierre Pansu , Peter PetersenPublisher: American Mathematical Society Imprint: American Mathematical Society Edition: UK ed. Volume: No. 4 Weight: 0.466kg ISBN: 9780821802632ISBN 10: 0821802631 Pages: 115 Publication Date: 30 January 1996 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: In stock  We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately. Table of ContentsLecture Series 1. Gerard Besson, Volumes and entropies Preface Volumes Simplicial volume Entropies Some results and a new method Biblography Lecture Series 2. Joachim Lohkamp, Global and local curvatures Preface Curved balls Approximation Internal structures Bibliography Lecture Series 3. Pierre Pansu, Introduction to $L^2$ Betti numbers Acknowledgments Introduction Von-Neumann dimension Simplicial $L^2$ Betti numbers Homotopy invariance Invariants of discrete groups Atiyah's $L^2$ index theorem $L^\infty$ cohomology and negative curvature A vanishing theorem for Kahler hyperbolic manifolds Non vanishing theorems for $L^2$ cohomology $L^2$ index for projectively invariant operators Lecture Series 4. Peter Petersen, Comparison geometry problem list Bibliography Introduction Review of techniques in comparison theory Results in comparison geometry Problems Bibliograpy.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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