Tight and Taut Submanifolds

by Thomas E. Cecil, Shiing-shen Chern

Overview

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.

Product Details

ISBN-13:	9780521175159
Publisher:	Cambridge University Press
Publication date:	03/03/2011
Series:	Mathematical Sciences Research Institute Publications , #32
Edition description:	Reissue
Pages:	368
Product dimensions:	6.10(w) x 9.10(h) x 0.80(d)

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.

Editorial Reviews

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

From the Publisher