In this paper we show that a spherical convex body C is of constant diameter tau if and only if C is of constant width tau, for 0 < tau < pi. Moreover, some applications to Wulff shapes are given.
机构:
Univ Nacl Autonoma Mexico, Fac Ciencias, Dept Matemat, Mexico City 04510, DF, MexicoUniv Nacl Autonoma Mexico, Fac Ciencias, Dept Matemat, Mexico City 04510, DF, Mexico
Antonyan, Sergey A.
Jonard-Perez, Natalia
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Univ Nacl Autonoma Mexico, Fac Ciencias, Dept Matemat, Mexico City 04510, DF, MexicoUniv Nacl Autonoma Mexico, Fac Ciencias, Dept Matemat, Mexico City 04510, DF, Mexico
Jonard-Perez, Natalia
Juarez-Ordonez, Saul
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Univ Nacl Autonoma Mexico, Fac Ciencias, Dept Matemat, Mexico City 04510, DF, MexicoUniv Nacl Autonoma Mexico, Fac Ciencias, Dept Matemat, Mexico City 04510, DF, Mexico