Tight and Taut Submanifolds

Erscheinungsjahr 2011
ISBN: 978-0-521-17515-9
Verlag: Cambridge University Press

Buch, Englisch, Band 32, 368 Seiten, Format (B × H): 156 mm x 234 mm, Gewicht: 559 g

Reihe: Mathematical Sciences Research Institute Publications

• 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• Dedicated to the memory of Nicolaas Kuiper, a leader in the field, and the first article is an unfinished (and unpublished) survey of tight immersions and maps written by Kuiper himself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
First published in 1997, this book contains six in-depth articles on various aspects of the field of tight and taut submanifolds and concludes with an extensive bibliography of the entire field. The book is dedicated to the memory of Nicolaas H. Kuiper; the first paper is an unfinished but insightful survey of the field of tight immersions and maps written by Kuiper himself. Other papers by leading researchers in the field treat topics such as the smooth and polyhedral portions of the theory of tight immersions, taut, Dupin and isoparametric submanifolds of Euclidean space, taut submanifolds of arbitrary complete Riemannian manifolds, and real hypersurfaces in complex space forms with special curvature properties. Taken together these articles provide a comprehensive survey of the field and point toward several directions for future research.

Autoren/Hrsg.

Cecil, Thomas E.

Chern, Shiing-shen

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Differentialgeometrie
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Topologie

Inhaltsverzeichnis

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.