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A perspective on canonical Riemannia...

Catino, Giovanni.

A perspective on canonical Riemannian meetrics

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	A perspective on canonical Riemannian meetricsby Giovanni Catino, Paolo Mastrolia.
作者:	Catino, Giovanni.
其他作者:	Mastrolia, Paolo.
出版者:	Cham :Springer International Publishing :2020.
面頁冊數:	xix, 247 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Geometry, Riemannian.
電子資源:	https://doi.org/10.1007/978-3-030-57185-6
ISBN:	9783030571856$q(electronic bk.)

A perspective on canonical Riemannian meetrics
Catino, Giovanni.

A perspective on canonical Riemannian meetrics[electronic resource] /by Giovanni Catino, Paolo Mastrolia. - Cham :Springer International Publishing :2020. - xix, 247 p. :ill., digital ;24 cm. - Progress in mathematics,v.3360743-1643 ;. - Progress in mathematics ;v.295..

Introduction -- Basic Concepts of Riemannian Geometry -- Commutations & Variations -- The Weyl Tensor -- Curvature Conditions -- Critical Metrics of Riemannian Functionals -- Bochner-Weitzenbock 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.

ISBN: 9783030571856$q(electronic bk.)

Standard No.: 10.1007/978-3-030-57185-6doiSubjects--Topical Terms:

191082
Geometry, Riemannian.

LC Class. No.: QA649

Dewey Class. No.: 516.373

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