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.
"The cut locus of a two-sphere of revolution and Toponogov's comparison theorem." Tohoku Math. J. (2) 59 (3) 379 - 399, 2007. https://doi.org/10.2748/tmj/1192117984