Tight and Taut Submanifolds

ISBN-13: 9780521620475 / Angielski / Twarda / 1997 / 368 str.

Opis

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.

Recenzje

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

Spis treści

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.