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9780521620475

Tight and Taut Submanifolds

by
  • ISBN13:

    9780521620475

  • ISBN10:

    0521620473

  • Format: Hardcover
  • Copyright: 1997-11-13
  • Publisher: Cambridge University Press

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Summary

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.

Table of Contents

Preface xi(2)
Remembering Nicolaas Kuiper xiii
THOMAS F. BANCHOFF
Geometry in Curvature Theory
51(68)
NICOLAAS H. KUIPER
Tight Submanifolds, Smooth and Polyhedral
51(68)
THOMAS F. BANCHOFF
Tightness for Smooth and Polyhedral Immersions of the Projective Plane with One Handle
119(16)
DAVIDE P. CERVONE
Taut and Dupin Submanifolds
135(46)
THOMAS E. CECIL
Taut Immersions into Complete Riemannian Manifolds
181(48)
CHUU-LIAN TERNG
GUDLAUGUR THORBERGSSON
Null-Homotopic Embedded Spheres of Codimension One
229(4)
DANIEL RUBERMAN
Real Hypersurfaces in Complex Space Forms
233(74)
ROSS NIEBERGALL
PATRICK J. RYAN
Bibliography on Tight, Taut and Isoparametric Submanifolds
307(34)
WOLFGANG KUHNEL
THOMAS E. CECIL
List of Publications 341(8)
Nicolaas H. Kuiper
Dissertations of N. H. Kuiper's Doctoral Students 349

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