2019AIMS MathematicsOpen access

Non-null slant ruled surfaces

Mehmet Önder, Delibekirli Village, Tepe Street, No. 63, 31440 Kırıkhan, Hatay, Turkey

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Abstract

In this study, we define some new types of non-null ruled surfaces called slant ruled surfaces in the Minkowski 3-space $E_{1}^{3} $. We introduce some characterizations for a non-null ruled surface to be a slant ruled surface in $E_{1}^{3} $. Moreover, we obtain some corollaries which give the relationships between a non-null slant ruled surface and its striction line.

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What this paper is about

In this study, we define some new types of non-null ruled surfaces called slant ruled surfaces in the Minkowski 3-space $E_{1}^{3} $. We introduce some characterizations for a non-null ruled surface to be a slant ruled surface in $E_{1}^{3} $. Moreover, we obtain some corollaries which give the relationships between a non-null slant ruled surface and its striction line.

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Available abstract

In this study, we define some new types of non-null ruled surfaces called slant ruled surfaces in the Minkowski 3-space $E_{1}^{3} $. We introduce some characterizations for a non-null ruled surface to be a slant ruled surface in $E_{1}^{3} $. Moreover, we obtain some corollaries which give the relationships between a non-null slant ruled surface and its striction line.

Key concepts: Minkowski space, Null (SQL), Surface (topology), Ruled surface, Mathematics, Space (punctuation), Pure mathematics, Physics

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