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Tight and Taut Submanifolds

Tight and Taut Submanifolds

Tight and Taut Submanifolds

Thomas E. Cecil, College of the Holy Cross, Massachusetts
Shiing-shen Chern
Mathematical Sciences Research Institute
March 2011
Available
Paperback
9780521175159
$55.00
USD
Paperback
USD
Hardback

    Tight and taut manifolds form an important and special class of surfaces within differential geometry. This book contains in-depth articles by experts in the field as well as an extensive and comprehensive bibliography. This survey will open new avenues for further research and will be an important addition to any geometer's library.

    • Comprehensive survey of the field with articles by the leading experts - a 'must read' for anyone wishing to study the field
    • Dedicated to the memory of Nicolaas Kuiper, a leader in the field, and the first article is an unfinished (and unpublished) survey of tight immersions and maps written by Kuiper himself
    • Complete bibliography of the entire field

    Reviews & endorsements

    Review of the hardback: ' … a comprehensive survey of the field.' European Mathematical Society

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    Product details

    November 1997
    Hardback
    9780521620475
    368 pages
    234 × 156 × 21 mm
    0.7kg
    Available

    Table of Contents

    • Preface
    • 1. Remembering Nicolaas Kuiper Thomas F. Banchoff
    • 2. Roever lectures in geometry Nicolaas H. Kuiper
    • 3. Smooth and polyhedral tight immersions Thomas F. Banchoff
    • 4. Tightness for smooth and polyhedral immersions of the real projective plane with one handle Davide P. Cervone
    • 5. Taut and Dupin submanifolds Thomas E. Cecil
    • 6. Taut immersions into complete Riemannian manifolds Chuu-Lian Terng and Gudlaugur Thorbergsson
    • 7. Null-homotopic embedded spheres of codimension one Daniel Ruberman
    • 8. Real hypersurfaces in complex space forms Ross Niebergall and Patrick Ryan
    • 9. Biography on tight, taut and isoparametric submanifolds Wolfgang Kühnel and Thomas E. Cecil
    • List of publications by Nicolaas H. Kuiper
    • Dissertations of N. H. Juiper's doctoral students.
      Contributors
    • Thomas F. Banchoff, Nicolaas H. Kuiper, Davide P. Cervone, Thomas E. Cecil, Chuu-Lian Terng, Gudlaugur Thorbergsson, Daniel Ruberman, Ross Niebergall, Patrick Ryan, Wolfgang Kühnel

    • Editors
    • Thomas E. Cecil , College of the Holy Cross, Massachusetts
    • Shiing-shen Chern
    • Mathematical Sciences Research Institute