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Submanifold Theory - (Universitext) by Marcos Dajczer & Ruy Tojeiro (Hardcover)

Submanifold Theory - (Universitext) by  Marcos Dajczer & Ruy Tojeiro (Hardcover) - image 1 of 1
Submanifold Theory - (Universitext) by  Marcos Dajczer & Ruy Tojeiro (Hardcover) - image 1 of 1
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About this item


Number of Pages: 628

Genre: Mathematics

Series Title: Universitext

Format: Hardcover

Publisher: Springer

Author: Marcos Dajczer & Ruy Tojeiro

Language: English

Street Date: August 3, 2019
TCIN: 77897275
UPC: 9781493996421
Item Number (DPCI): 247-64-1399


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.

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