國立虎尾科技大學 |

A Perspective on Canonical Riemannian Metrics

Record Type:	Language materials, printed : Monograph/item
Title/Author:	A Perspective on Canonical Riemannian Metrics/ by Giovanni Catino, Paolo Mastrolia.
Author:	Catino, Giovanni.
other author:	Mastrolia, Paolo.
Description:	XIX, 247 p. 2 illus., 1 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Differential geometry. -
Online resource:	https://doi.org/10.1007/978-3-030-57185-6
ISBN:	9783030571856

A Perspective on Canonical Riemannian Metrics
Catino, Giovanni.

A Perspective on Canonical Riemannian Metrics[electronic resource] /by Giovanni Catino, Paolo Mastrolia. - 1st ed. 2020. - XIX, 247 p. 2 illus., 1 illus. in color.online resource. - Progress in Mathematics,3360743-1643 ;. - Progress in Mathematics,312.

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.

ISBN: 9783030571856

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

882213
Differential geometry.

LC Class. No.: QA641-670

Dewey Class. No.: 516.36

A Perspective on Canonical Riemannian Metrics
LDR:02481nam a22004095i 4500 001 1020438
003 DE-He213
005 20201023155339.0
007 cr nn 008mamaa
008 210318s2020 gw | s |||| 0|eng d
020 $a 9783030571856 $9 978-3-030-57185-6
024 7 $a 10.1007/978-3-030-57185-6 $2 doi
035 $a 978-3-030-57185-6
050 4 $a QA641-670
072 7 $a PBMP $2 bicssc
072 7 $a MAT012030 $2 bisacsh
072 7 $a PBMP $2 thema
082 0 4 $a 516.36 $2 23
100 1 $a Catino, Giovanni. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1315907
245 1 2 $a A Perspective on Canonical Riemannian Metrics $h [electronic resource] / $c by Giovanni Catino, Paolo Mastrolia.
250 $a 1st ed. 2020.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Birkhäuser, $c 2020.
300 $a XIX, 247 p. 2 illus., 1 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Progress in Mathematics, $x 0743-1643 ; $v 336
505 0 $a 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.
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 Differential geometry. $3 882213
650 1 4 $a Differential Geometry. $3 671118
700 1 $a Mastrolia, Paolo. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 884199
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030571849
776 0 8 $i Printed edition: $z 9783030571863
776 0 8 $i Printed edition: $z 9783030571870
830 0 $a Progress in Mathematics, $x 0743-1643 ; $v 312 $3 1258196
856 4 0 $u https://doi.org/10.1007/978-3-030-57185-6
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)