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Catalogue Information
Field name	Details
Dewey Class	514.34
Title	Submanifold Theory ([EBook]) : Beyond an Introduction / by Marcos Dajczer, Ruy Tojeiro.
Author	Dajczer, Marcos
Added Personal Name	Tojeiro, Ruy
Other name(s)	SpringerLink (Online service)
Edition statement	1st ed. 2019.
Publication	New York, NY : Springer US , 2019.
Physical Details	XX, 628 pages: 8 illus. : online resource.
Series	Universitext
ISBN	9781493996445
Summary Note	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.:
Contents note	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. .
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1007/978-1-4939-9644-5
Links to Related Works	Subject References: Algebra . Complex manifolds . Differential Geometry . General Algebraic Systems . Manifolds and Cell Complexes (incl. Diff.Topology) . Manifolds (Mathematics) . Authors: author . Dajczer, Marcos . Tojeiro, Ruy . Corporate Authors: SpringerLink (Online service) . Series: Universitext . Classification: 514.34 . 514.34 (DDC 23) .

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Submanifold Theory: Beyond an Introduction

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