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A perspective on canonical Riemannia...

Catino, Giovanni.

A perspective on canonical Riemannian meetrics

Record Type:	Electronic resources : Monograph/item
Title/Author:	A perspective on canonical Riemannian meetricsby Giovanni Catino, Paolo Mastrolia.
Author:	Catino, Giovanni.
other author:	Mastrolia, Paolo.
Published:	Cham :Springer International Publishing :2020.
Description:	xix, 247 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Geometry, Riemannian.
Online resource:	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

A perspective on canonical Riemannian meetrics
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100 1 $a Catino, Giovanni. $3 880695
245 1 2 $a A perspective on canonical Riemannian meetrics $h [electronic resource] / $c by Giovanni Catino, Paolo Mastrolia.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2020.
300 $a xix, 247 p. : $b ill., digital ; $c 24 cm.
490 1 $a Progress in mathematics, $x 0743-1643 ; $v v.336
505 0 $a 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.
520 $a 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.
650 0 $a Geometry, Riemannian. $3 191082
650 0 $a Geometry, Differential. $3 182610
650 1 4 $a Differential Geometry. $3 273785
700 1 $a Mastrolia, Paolo. $3 569142
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830 0 $a Progress in mathematics ; $v v.295. $3 558269
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