Información General

• Autores: Thomas E. Cecil (coord.), Shiing-Shen Chern (coord.)
• Editores: Cambridge University Press
• Año de publicación: 1997
• Colecciones: Mathematical Sciences Research Institute publications, 32
• País: Estados Unidos
• Idioma: inglés
• ISBN: 0-521-62047-3
• Texto completo no disponible (Saber más ...)

Resumen

• Tight and taut submanifolds form an important class of manifolds with special curvature properties, one that has been studied intensively by differential geometers since the 1950's. They are in some ways the simplest figures after convex bodies: for example, tight manifolds in R^n are characterized by the fact that their intersection with any half-space is connected. Examples include many well-known manifolds such as spheres, Veronese surfaces, isoparametric hypersurfaces and the cyclides of Dupin.

Otros catálogos

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Listado de artículos

• • Geometry in Curvature Theory

    Nicolaas H. Kuiper

    págs. 1-50

    

  • Tight Submanifolds, Smooth and Polyhedral

    Thomas F. Banchoff, Wolfgang Kühnel

    págs. 51-118

    

  • Tightness for Smooth and Polyhedral Immersions of the Projective Plane with One Handle

    Davide P. Cervone

    págs. 119-133

    

  • Taut and Dupin Submanifolds

    Thomas E. Cecil

    págs. 135-180

    

  • Taut Immersions into Complete Riemannian Manifolds

    Chuu-Lian Terng, Gudlaugur Thorbergsson

    págs. 181-228

    

  • Null-Homotopic Embedded Spheres of Codimension One

    Daniel Ruberman

    págs. 229-232

    

  • Real Hypersurfaces in Complex Space Forms

    Ross Niebergall, Patrick J. Ryan

    págs. 233-305

    

  • Bibliography on Tight, Taut and Isoparametric Submanifolds

    Wolfgang Kühnel, Thomas E. Cecil

    págs. 307-339