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.
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