The cut locus of a surface of revolution
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Mar 30, 2018
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References
[1] D. Elerath, An improved Toponogov comparison theorem for non-negatively curved manifolds, J. Differential Geom., 15 (1980), 187-216.
[2] J.J. Hebda, Metric structure of cut loci in surfaces and Ambrose’s problem, J. of Differential Geom., 40 91994), 621-642.
[3] J. Gravesen, S. Markvosen, R. Sinclair and M. Tanaka, The cut loci of torus of revolution, to appear.
[4] R. Sinclair and M. Tanaka, Loki: Software for computing cut loci, Experimental Mathematics 11, (2002), 1-25.
[5] K. Shiohama and M. Tanaka, Cut loci and distance spheres on Alexandrov surfaces, Sémimaires & Congrés, Collection SMF No. 1, Actes de la table ronde de Géométrie différentielle en I’honneur Marcel Berger, (1996), 531-560.
[2] J.J. Hebda, Metric structure of cut loci in surfaces and Ambrose’s problem, J. of Differential Geom., 40 91994), 621-642.
[3] J. Gravesen, S. Markvosen, R. Sinclair and M. Tanaka, The cut loci of torus of revolution, to appear.
[4] R. Sinclair and M. Tanaka, Loki: Software for computing cut loci, Experimental Mathematics 11, (2002), 1-25.
[5] K. Shiohama and M. Tanaka, Cut loci and distance spheres on Alexandrov surfaces, Sémimaires & Congrés, Collection SMF No. 1, Actes de la table ronde de Géométrie différentielle en I’honneur Marcel Berger, (1996), 531-560.