A geometric property of spherical curves in 4-dimensional Euclidean space
Zhang Chao-nan
Abstract
Zhang Chao-nan
Abstract
Investigated the geometric properties of spherical curves by using of Frenet formula in 4-dimensional Euclidean space and obtained a necessary and sufficient condition in judging that space curves are spherical curves.
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Investigated the geometric properties of spherical curves by using of Frenet formula in 4-dimensional Euclidean space and obtained a necessary and sufficient condition in judging that space curves are spherical curves.
Key concepts: Frenet–Serret formulas, Euclidean space, Mathematics, Euclidean geometry, Space (punctuation), Property (philosophy), Mathematical analysis, Pure mathematics