January 1, 2007Open Access

The cut locus of a two-sphere of revolution and Toponogov's comparison theorem

Puntos clave

Los puntos clave no están disponibles para este artículo en este momento.

Resumen

We determine the structure of the cut locus of a class of two-spheres of revolution, which includes all ellipsoids of revolution. Furthermore, we show that a subclass of this class gives a new model surface for Toponogov's comparison theorem.

Preguntar a la IA

Me gusta

Guardar

Ver artículo completo

Cite This Study

Sinclair et al. (Mon,) studied this question.

synapsesocial.com/papers/6a00f048581c6e761e77e9c6 https://doi.org/https://doi.org/10.2748/tmj/1192117984

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1The Cut Locus of a Torus of Revolution2005 · 18 citations
2Characterization of a differentiable point of the distance function to the cut locus2003 · 6 citations
3Geodesic Parallel Coordinates in the Large1964 · 129 citations
4Measure and Integral1977 · 785 citations
5Lower curvature bounds, Toponogov's theorem, and bounded topology. II1987 · 25 citations

Preguntar a la IA

Me gusta

Guardar

Ver artículo completo