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＜E-Book＞
A Perspective on Canonical Riemannian Metrics / by Giovanni Catino, Paolo Mastrolia
(Progress in Mathematics. ISSN:2296505X ; 336)

Edition	1st ed. 2020.
Publisher	Cham : Springer International Publishing : Imprint: Birkhäuser
Year	2020
Size	XIX, 247 p. 2 illus., 1 illus. in color : online resource
Authors	*Catino, Giovanni author Mastrolia, Paolo author SpringerLink (Online service)
Subjects	LCSH:Geometry, Differential FREE:Differential Geometry
Notes	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 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 HTTP:URL=https://doi.org/10.1007/978-3-030-57185-6

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