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Null Curves in a Semi-Riemannian Manifold of Index 2

Dae-Ho Jin

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Abstract

The purpose of this paper is to study the geometry of null curves in a semi-Riemannian manifold (M, g) of index 2. We show that it is possible to construct new Frenet equations of two types of null curves in M.

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What this paper is about

The purpose of this paper is to study the geometry of null curves in a semi-Riemannian manifold (M, g) of index 2. We show that it is possible to construct new Frenet equations of two types of null curves in M.

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Available abstract

The purpose of this paper is to study the geometry of null curves in a semi-Riemannian manifold (M, g) of index 2. We show that it is possible to construct new Frenet equations of two types of null curves in M.

Key concepts: Mathematics, Null (SQL), Index (typography), Manifold (fluid mechanics), Frenet–Serret formulas, Pure mathematics, Riemannian manifold, Mathematical analysis

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