Submanifolds and Holonomy (Research Notes in Mathematics Series)

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Название:Submanifolds and Holonomy (Research Notes in Mathematics Series)

Автор: Jurgen Berndt, Sergio Console, Carlos Olmos

Издательство: Chapman and Hall/CRC

ISBN: 1584883715

Дата издания:2003-04-28

Страниц: 352

Язык:Английский

Формат:PDF

Размер: 2 MB

With special emphasis on new techniques based on the holonomy of the normal connection, this book provides an up-to-date, complete 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 will help stimulate interest in the field.