Synopses & Reviews
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.
Review
Review of the hardback: ' ... a comprehensive survey of the field.' European Mathematical Society
Synopsis
A comprehensive 1997 survey of the field of tight and taut submanifolds.
Synopsis
Tight and taut submanifolds form an important special class of surfaces in the general field of differential geometry. This subject has been studied intensively by differential geometers since the 1950's. This book contains six in-depth articles by leading experts in the field as well as an extensive bibliography of the entire field. Taken together, these articles provide a comprehensive survey of the field and point toward several directions for future research. The book is intended for researchers in the field and as a reference for libraries.
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.