國立虎尾科技大學 |

Submanifold Theory = Beyond an Introduction /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Submanifold Theory / by Marcos Dajczer, Ruy Tojeiro.
Reminder of title:	Beyond an Introduction /
Author:	Dajczer, Marcos.
other author:	Tojeiro, Ruy.
Description:	XX, 628 p. 8 illus.online resource. :
Contained By:	Springer Nature eBook
Subject:	Manifolds (Mathematics). -
Online resource:	https://doi.org/10.1007/978-1-4939-9644-5
ISBN:	9781493996445

Submanifold Theory = Beyond an Introduction /
Dajczer, Marcos.

Submanifold Theory Beyond an Introduction /[electronic resource] :by Marcos Dajczer, Ruy Tojeiro. - 1st ed. 2019. - XX, 628 p. 8 illus.online resource. - Universitext,0172-5939. - Universitext,.

The basic equations of a submanifold -- Reduction of codimension -- Minimal submanifolds -- Local rigidity of submanifolds -- Constant curvature submanifolds -- Submanifolds with nonpositive extrinsic curvature -- Submanifolds with relative nullity -- Isometric immersions of Riemannian products -- Conformal immersions -- Isometric immersions of warped products -- The Sbrana-Cartan hypersurfaces -- Genuine deformations -- Deformations of complete submanifolds -- Innitesimal bendings -- Real Kaehler submanifolds -- Conformally at submanifolds -- Conformally deformable hypersurfaces -- Vector bundles. .

This book provides a comprehensive introduction to Submanifold theory, focusing on general properties of isometric and conformal immersions of Riemannian manifolds into space forms. One main theme is the isometric and conformal deformation problem for submanifolds of arbitrary dimension and codimension. Several relevant classes of submanifolds are also discussed, including constant curvature submanifolds, submanifolds of nonpositive extrinsic curvature, conformally flat submanifolds and real Kaehler submanifolds. This is the first textbook to treat a substantial proportion of the material presented here. The first chapters are suitable for an introductory course on Submanifold theory for students with a basic background on Riemannian geometry. The remaining chapters could be used in a more advanced course by students aiming at initiating research on the subject, and are also intended to serve as a reference for specialists in the field.

ISBN: 9781493996445

Standard No.: 10.1007/978-1-4939-9644-5doiSubjects--Topical Terms:

1051266
Manifolds (Mathematics).

LC Class. No.: QA613-613.8

Dewey Class. No.: 514.34

Submanifold Theory = Beyond an Introduction /
LDR:02943nam a22004215i 4500 001 1005780
003 DE-He213
005 20200706185246.0
007 cr nn 008mamaa
008 210106s2019 xxu| s |||| 0|eng d
020 $a 9781493996445 $9 978-1-4939-9644-5
024 7 $a 10.1007/978-1-4939-9644-5 $2 doi
035 $a 978-1-4939-9644-5
050 4 $a QA613-613.8
050 4 $a QA613.6-613.66
072 7 $a PBMS $2 bicssc
072 7 $a MAT038000 $2 bisacsh
072 7 $a PBMS $2 thema
072 7 $a PBPH $2 thema
082 0 4 $a 514.34 $2 23
100 1 $a Dajczer, Marcos. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1229559
245 1 0 $a Submanifold Theory $h [electronic resource] : $b Beyond an Introduction / $c by Marcos Dajczer, Ruy Tojeiro.
250 $a 1st ed. 2019.
264 1 $a New York, NY : $b Springer US : $b Imprint: Springer, $c 2019.
300 $a XX, 628 p. 8 illus. $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 Universitext, $x 0172-5939
505 0 $a The basic equations of a submanifold -- Reduction of codimension -- Minimal submanifolds -- Local rigidity of submanifolds -- Constant curvature submanifolds -- Submanifolds with nonpositive extrinsic curvature -- Submanifolds with relative nullity -- Isometric immersions of Riemannian products -- Conformal immersions -- Isometric immersions of warped products -- The Sbrana-Cartan hypersurfaces -- Genuine deformations -- Deformations of complete submanifolds -- Innitesimal bendings -- Real Kaehler submanifolds -- Conformally at submanifolds -- Conformally deformable hypersurfaces -- Vector bundles. .
520 $a This book provides a comprehensive introduction to Submanifold theory, focusing on general properties of isometric and conformal immersions of Riemannian manifolds into space forms. One main theme is the isometric and conformal deformation problem for submanifolds of arbitrary dimension and codimension. Several relevant classes of submanifolds are also discussed, including constant curvature submanifolds, submanifolds of nonpositive extrinsic curvature, conformally flat submanifolds and real Kaehler submanifolds. This is the first textbook to treat a substantial proportion of the material presented here. The first chapters are suitable for an introductory course on Submanifold theory for students with a basic background on Riemannian geometry. The remaining chapters could be used in a more advanced course by students aiming at initiating research on the subject, and are also intended to serve as a reference for specialists in the field.
650 0 $a Manifolds (Mathematics). $3 1051266
650 0 $a Complex manifolds. $3 676705
650 0 $a Differential geometry. $3 882213
650 0 $a Algebra. $2 gtt $3 579870
650 1 4 $a Manifolds and Cell Complexes (incl. Diff.Topology). $3 668590
650 2 4 $a Differential Geometry. $3 671118
650 2 4 $a General Algebraic Systems. $3 672227
700 1 $a Tojeiro, Ruy. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1229560
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9781493996421
776 0 8 $i Printed edition: $z 9781493996438
830 0 $a Universitext, $x 0172-5939 $3 1253835
856 4 0 $u https://doi.org/10.1007/978-1-4939-9644-5
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)