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Product Code: | FIM/4 |
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AMS Member Price: | $53.60 |
eBook ISBN: | 978-1-4704-3131-0 |
Product Code: | FIM/4.E |
List Price: | $62.00 |
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AMS Member Price: | $49.60 |
Hardcover ISBN: | 978-0-8218-0263-2 |
eBook: ISBN: | 978-1-4704-3131-0 |
Product Code: | FIM/4.B |
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MAA Member Price: | $116.10 $88.20 |
AMS Member Price: | $103.20 $78.40 |

Hardcover ISBN: | 978-0-8218-0263-2 |
Product Code: | FIM/4 |
List Price: | $67.00 |
MAA Member Price: | $60.30 |
AMS Member Price: | $53.60 |
eBook ISBN: | 978-1-4704-3131-0 |
Product Code: | FIM/4.E |
List Price: | $62.00 |
MAA Member Price: | $55.80 |
AMS Member Price: | $49.60 |
Hardcover ISBN: | 978-0-8218-0263-2 |
eBook ISBN: | 978-1-4704-3131-0 |
Product Code: | FIM/4.B |
List Price: | $129.00 $98.00 |
MAA Member Price: | $116.10 $88.20 |
AMS Member Price: | $103.20 $78.40 |
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Book DetailsFields Institute MonographsVolume: 4; 1996; 115 ppMSC: Primary 53; 58; 46; 20; Secondary 55
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.
Titles in this series are co-published with The Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).
ReadershipGraduate students and researchers interested in geometry.
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Table of Contents
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Chapters
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Lecture 1. Volumes and entropies
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Lecture 2. Global and local curvatures
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Lecture 3. Introduction to $L^2$ Betti numbers
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Lecture 4. Comparison geometry problem list
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
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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.
Titles in this series are co-published with The Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).
Graduate students and researchers interested in geometry.
-
Chapters
-
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