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Universitext

Submanifold Theory

Beyond an Introduction

Authors: Dajczer, Marcos, Tojeiro, Ruy

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  • Provides a comprehensive introduction to submanifold theory 
  • Engages the reader throughout with many examples and exercises
  • Reaches the frontier of knowledge in the subject​
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eBook 56,99 €
price for India (gross)
  • ISBN 978-1-4939-9644-5
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  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 69,99 €
price for India (gross)
  • ISBN 978-1-4939-9642-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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.

About the authors

Marcos Dajczer is a researcher at the Instituto Matemática Pura e Aplicada (IMPA) in Rio de Janeiro. His main field of research is Submanifold Theory and is the author of around 130 articles. He is a fellow of the J. S. Guggenheim Foundation as well as a member of the Brazilian Academy of Sciences (ABC) and The World  Academy of Sciences (TWAS). His other interests include natural sciences and politics.

 Ruy Tojeiro is currently professor at the University of São Paulo at São Carlos (Brazil), and has been professor at the Federal University of São Carlos until 2018. He has authored over 50 research articles on Submanifold Theory. Besides mathematics, Ruy Tojeiro enjoys playing the baroque recorder.



Table of contents (17 chapters)

Table of contents (17 chapters)

Buy this book

eBook 56,99 €
price for India (gross)
  • ISBN 978-1-4939-9644-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 69,99 €
price for India (gross)
  • ISBN 978-1-4939-9642-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Submanifold Theory
Book Subtitle
Beyond an Introduction
Authors
Series Title
Universitext
Copyright
2019
Publisher
Springer US
Copyright Holder
Springer Science+Business Media, LLC, part of Springer Nature
eBook ISBN
978-1-4939-9644-5
DOI
10.1007/978-1-4939-9644-5
Hardcover ISBN
978-1-4939-9642-1
Series ISSN
0172-5939
Edition Number
1
Number of Pages
XX, 628
Number of Illustrations
8 b/w illustrations
Topics