Catino / Mastrolia A Perspective on Canonical Riemannian Metrics

1. Auflage 2020
ISBN: 978-3-030-57185-6
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 336, 247 Seiten, eBook

Reihe: Progress in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Catino, Giovanni

Mastrolia, Paolo

Inhaltsverzeichnis

Introduction.- Basic Concepts of Riemannian Geometry.- Commutations & Variations.- The Weyl Tensor.- Curvature Conditions.- Critical Metrics of Riemannian Functionals.- Bochner-Weitzenböck Formulas and Applications.- Ricci Solitons: Selected Results.- Existence Results of Canonical Metrics on Four Manifolds.- List of Symbols.- References.- Index.