Foliations on Riemannian Manifolds and Submanifolds

Authors: Rovenski, Vladimir

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eBook 109,99 €
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  • ISBN 978-1-4612-4270-3
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Hardcover 135,19 €
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Softcover 135,19 €
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About this book

This monograph is based on the author's results on the Riemannian ge­ ometry of foliations with nonnegative mixed curvature and on the geometry of sub manifolds with generators (rulings) in a Riemannian space of nonnegative curvature. The main idea is that such foliated (sub) manifolds can be decom­ posed when the dimension of the leaves (generators) is large. The methods of investigation are mostly synthetic. The work is divided into two parts, consisting of seven chapters and three appendices. Appendix A was written jointly with V. Toponogov. Part 1 is devoted to the Riemannian geometry of foliations. In the first few sections of Chapter I we give a survey of the basic results on foliated smooth manifolds (Sections 1.1-1.3), and finish in Section 1.4 with a discussion of the key problem of this work: the role of Riemannian curvature in the study of foliations on manifolds and submanifolds.

Table of contents (7 chapters)

  • Foliations on Manifolds

    Rovenskii, Vladimir Y.

    Pages 1-30

    Preview Buy Chapter 30,19 €
  • Local Riemannian Geometry of Foliations

    Rovenskii, Vladimir Y.

    Pages 31-63

    Preview Buy Chapter 30,19 €
  • T-Parallel Fields and Mixed Curvature

    Rovenskii, Vladimir Y.

    Pages 64-94

    Preview Buy Chapter 30,19 €
  • Rigidity and Splitting of Foliations

    Rovenskii, Vladimir Y.

    Pages 95-128

    Preview Buy Chapter 30,19 €
  • Submanifolds with Generators

    Rovenskii, Vladimir Y.

    Pages 129-174

    Preview Buy Chapter 30,19 €

Buy this book

eBook 109,99 €
price for Spain (gross)
  • ISBN 978-1-4612-4270-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 135,19 €
price for Spain (gross)
  • ISBN 978-0-8176-3806-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 135,19 €
price for Spain (gross)
  • ISBN 978-1-4612-8717-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Foliations on Riemannian Manifolds and Submanifolds
Authors
Copyright
1998
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Boston
eBook ISBN
978-1-4612-4270-3
DOI
10.1007/978-1-4612-4270-3
Hardcover ISBN
978-0-8176-3806-1
Softcover ISBN
978-1-4612-8717-9
Edition Number
1
Number of Pages
X, 286
Topics