Tight and Taut Submanifolds
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- Dedicated to the memory of Nicolaas Kuiper, a leader in the field, and the first article is an unfinished (and unpublished) survey of tight immersions and maps written by Kuiper himself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
Product details
November 1997Hardback
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.