Overview
- 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
Part of the book series: Progress in Mathematics (PM, volume 336)
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Table of contents (8 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
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Authors and Affiliations
Bibliographic Information
Book Title: A Perspective on Canonical Riemannian Metrics
Authors: Giovanni Catino, Paolo Mastrolia
Series Title: Progress in Mathematics
DOI: https://doi.org/10.1007/978-3-030-57185-6
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020
Hardcover ISBN: 978-3-030-57184-9Published: 24 October 2020
Softcover ISBN: 978-3-030-57187-0Published: 25 October 2021
eBook ISBN: 978-3-030-57185-6Published: 23 October 2020
Series ISSN: 0743-1643
Series E-ISSN: 2296-505X
Edition Number: 1
Number of Pages: XIX, 247
Number of Illustrations: 1 b/w illustrations, 1 illustrations in colour
Topics: Differential Geometry