Submanifold Theory Beyond an Introduction /

• Κύριοι συγγραφείς: Dajczer, Marcos (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Tojeiro, Ruy (http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer US : Imprint: Springer, 2019.
• Έκδοση: 1st ed. 2019.
• Σειρά: Universitext,
• Θέματα: Manifolds (Mathematics).; Complex manifolds.; Differential geometry.; Algebra.; Manifolds and Cell Complexes (incl. Diff.Topology).; Differential Geometry.; General Algebraic Systems.

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 codimens...

Πίνακας περιεχομένων:

• 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. .