2013Journal of Science of Teachers' College and UniversityRequires access

A geometric property of spherical curves in 4-dimensional Euclidean space

Zhang Chao-nan

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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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What this paper is about

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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Available 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.

Key concepts: Frenet–Serret formulas, Euclidean space, Mathematics, Euclidean geometry, Space (punctuation), Property (philosophy), Mathematical analysis, Pure mathematics

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