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Submanifolds and Holonomy
Jurgen Berndt
Carlos Enrique Olmos
Sergio Console
出版
Taylor & Francis
, 2003-04-28
主題
Mathematics / Geometry / General
Mathematics / Number Theory
ISBN
1584883715
9781584883715
URL
http://books.google.com.hk/books?id=qn5TngEACAAJ&hl=&source=gbs_api
註釋
With special emphasis on new techniques based on the holonomy of the normal connection, this book provides a modern, self-contained introduction to submanifold geometry. It offers a thorough survey of these techniques and their applications and presents a framework for various recent results to date found only in scattered research papers. The treatment introduces all the basics of the subject, and along with some classical results and hard-to-find proofs, presents new proofs of several recent results. Appendices furnish the necessary background material, exercises give readers practice in using the techniques, and discussion of open problems stimulates readers' interest in the field.