Giovanni Catino,
Paolo Mastrolia
Springer International Publishing
e druk, 2021
9783030571870
A Perspective on Canonical Riemannian Metrics
Specificaties
Paperback, blz.
|
Engels
Springer International Publishing |
e druk, 2021
ISBN13: 9783030571870
Rubricering
Onderdeel van serie
Progress in Mathematics
Levertijd ongeveer 8 werkdagen
Samenvatting
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.
Specificaties
ISBN13:9783030571870
Taal:Engels
Bindwijze:paperback
Uitgever:Springer International Publishing
Serie:Progress in Mathematics
Inhoudsopgave
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.