A Perspective on Canonical Riemannian Metrics
Authors: Catino, Giovanni, Mastrolia, Paolo
Free Preview- Focusses on an active research field and contains many recent results
- Presents many open problems and possible research directions
- Offers a self-contained view of the wide class of “Curvature Conditions” and “Critical Metrics” of suitable Riemannian functionals
書籍の購入
- この書籍について
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This book focuses on a selection of special topics, with emphasis on past and present research of the authors on “canonical” Riemannian metrics on smooth manifolds.
On the backdrop of the fundamental contributions given by many experts in the field, the volume offers a self-contained view of the wide class of “Curvature Conditions” and “Critical Metrics” of suitable Riemannian functionals. The authors describe the classical examples and the relevant generalizations.
This monograph is the winner of the 2020 Ferran Sunyer i Balaguer Prize, a prestigious award for books of expository nature presenting the latest developments in an active area of research in mathematics.
- Table of contents (8 chapters)
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Basic Concepts of Riemannian Geometry
Pages 1-25
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Commutations and Variations
Pages 27-49
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The Weyl Tensor
Pages 51-70
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Canonical Metrics I: Curvature Conditions
Pages 71-108
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Canonical Metrics II: Critical Metrics of Riemannian Functionals
Pages 109-134
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Table of contents (8 chapters)
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書誌情報
- Bibliographic Information
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- Book Title
- A Perspective on Canonical Riemannian Metrics
- Authors
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- Giovanni Catino
- Paolo Mastrolia
- Series Title
- Progress in Mathematics
- Series Volume
- 336
- Copyright
- 2020
- Publisher
- Birkhäuser Basel
- Copyright Holder
- The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
- イーブック ISBN
- 978-3-030-57185-6
- DOI
- 10.1007/978-3-030-57185-6
- ハードカバー ISBN
- 978-3-030-57184-9
- Series ISSN
- 0743-1643
- Edition Number
- 1
- Number of Pages
- XIX, 247
- Number of Illustrations
- 1 b/w illustrations, 1 illustrations in colour
- Topics
