A perspective on canonical Riemannian metrics / / Giovanni Catino, Paolo Mastrolia

• Autore: Catino Giovanni
• Pubblicazione: Cham, Switzerland : , : Birkhäuser, , [2020]; ©2020
• Edizione: 1st ed. 2020.
• Descrizione fisica: 1 online resource (XIX, 247 p. 2 illus., 1 illus. in color.)
• Disciplina: 516.373
• Soggetto topico: Geometry, Riemannian
• Persona (resp. second.): MastroliaPaolo
• Nota di contenuto: 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.
• Sommario/riassunto: 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.
• Titolo autorizzato: A perspective on canonical Riemannian metrics
• ISBN: 3-030-57185-8
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 996418195903316
• Lo trovi qui: Univ. di Salerno
• Serie: Progress in Mathematics, . 0743-1643 ; ; 336