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- W2950877778 abstract "We show that for any n real periodic functions f_1,..., f_n with the same period, such that f_i>0 for i 0, there is a closed curve in R^{n+1} with curvatures k_1, ..., k_n such that |k_i(t)-f_i(t)| < e for all i and t. This neither holds for closed curves in the hyperbolic space H^{n+1}, nor for parametric families of closed curves in R^{n+1}." @default.
- W2950877778 created "2019-06-27" @default.
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- W2950877778 date "2012-05-26" @default.
- W2950877778 modified "2023-09-27" @default.
- W2950877778 title "Approximations of periodic functions to R^n by curvatures of closed curves" @default.
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