A two-piece property for compact minimal surfaces in a three-sphere

Minimal Surfaces in the Three-dimensional Sphere and Minimal Hypersurfaces of Type Number Two

We introduce canonical principal parameters on any strongly regular minimal surface in the three dimensional sphere and prove that any such a surface is determined up to a motion by its normal curvature function satisfying the Sinh-Poisson equation. We obtain a classification theorem for bi-umbilical hypersurfaces of type number two. We prove that any minimal hypersurface of type number two wit...

A Property of Minimal Surfaces.

Rigidity of Compact Minimal Submanifolds in a Sphere

In this paper we study n-dimensional compact minimal submanifolds in S with scalar curvature S satisfying the pinching condition S > n(n − 2). We show that for p ≤ 2 these submanifolds are totally geodesic (cf. Theorem 3.2 and Corollary 3.1). However, for codimension p ≥ 2, we prove the result under an additional restrictions on the curvature tensor corresponding to the normal connection (cf. T...

passivity in waiting for godot and endgame: a psychoanalytic reading

this study intends to investigate samuel beckett’s waiting for godot and endgame under the lacanian psychoanalysis. it begins by explaining the most important concepts of lacanian psychoanalysis. the beckettian characters are studied regarding their state of unconscious, and not the state of consciousness as is common in most beckett studies. according to lacan, language plays the sole role in ...

Minimal Surfaces: A Three Dimensional Segmentation Approach

A novel geometric approach for three dimensional object segmentation is presented. The scheme is based on geometric deformable surfaces moving towards the objects to be detected. We show that this model is equivalent to the computation of surfaces of minimal area (local minimal surfaces) in a Riemannian space. This space is deened by a metric induced from the three dimensional image in which th...