Resumen de Tight and Taut Submanifolds

Thomas E. Cecil (coord.), Shiing-Shen Chern (coord.)

• 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.