Skip to main content
SpringerLink
Log in
Birkhäuser
Book cover

Foliations on Riemannian Manifolds and Submanifolds

  • Book
  • © 1998

Overview

Authors:
  1. Vladimir Y. Rovenskii

    1. Mathematics Department/Geometry Chair, Pedagogical Institute, Russia

    View author publications

    You can also search for this author in PubMed   Google Scholar

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (7 chapters)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Foliations on Manifolds

    • Vladimir Y. Rovenskii
    Pages 1-30

  3. Local Riemannian Geometry of Foliations

    • Vladimir Y. Rovenskii
    Pages 31-63

  4. T-Parallel Fields and Mixed Curvature

    • Vladimir Y. Rovenskii
    Pages 64-94

  5. Rigidity and Splitting of Foliations

    • Vladimir Y. Rovenskii
    Pages 95-128

  6. Submanifolds with Generators

    • Vladimir Y. Rovenskii
    Pages 129-174

  7. Decomposition of Ruled Submanifolds

    • Vladimir Y. Rovenskii
    Pages 175-200

  8. Decomposition of Parabolic Submanifolds

    • Vladimir Y. Rovenskii
    Pages 201-217

  9. Back Matter

    Pages 218-286
    Download chapter PDF
Back to top

Keywords

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.

Authors and Affiliations

  • Mathematics Department/Geometry Chair, Pedagogical Institute, Russia

    Vladimir Y. Rovenskii

Bibliographic Information

  • Book Title: Foliations on Riemannian Manifolds and Submanifolds

  • Authors: Vladimir Y. Rovenskii

  • DOI: https://doi.org/10.1007/978-1-4612-4270-3

  • Publisher: Birkhäuser Boston, MA

  • eBook Packages: Springer Book Archive

  • Copyright Information: Birkhäuser Boston 1998

  • Hardcover ISBN: 978-0-8176-3806-1Published: 29 December 1997

  • Softcover ISBN: 978-1-4612-8717-9Published: 23 November 2011

  • eBook ISBN: 978-1-4612-4270-3Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: X, 286

  • Topics: Differential Geometry, Global Analysis and Analysis on Manifolds

Publish with us

Policies and ethics

Back to top

Search

Navigation