A Perspective on Canonical Riemannian Metrics

Download or read book A Perspective on Canonical Riemannian Metrics written by Giovanni Catino and published by Springer Nature. This book was released on 2020-10-23 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.