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Congruence classes of Frenet curves in complex quadrics
Authors:Makoto Kimura  Miguel Ortega
Institution:(1) Department of Mathematics Faculty of Science and Engineering, Shimane University, Matsue, Shimane 690-8604, Japan;(2) Departamento de Geometria y Topologia Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain
Abstract:Congruent classes of Frenet curves of order 2 in the complex quadric are studied, obtaining that each congruence class is a level set of a family of certain smooth functions, that are generalizations of isoparametric functions on the unit sphere in the tangent space of the complex quadric.
Keywords:Primary 53C20  Secondary 53C35
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