Normal Partner Curves of a Pseudo Null Curve on Dual Space Forms

Jinhua Qian, Xueqian Tian and Young Ho Kim
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Jinhua Qian: Department of Mathematics, Northeastern University, Shenyang 110004, China
Xueqian Tian: Department of Mathematics, Northeastern University, Shenyang 110004, China
Young Ho Kim: Department of Mathematics, Kyungpook National University, Daegu 41566, Korea

Mathematics, 2020, vol. 8, issue 6, 1-17

Abstract: In this work, a kind of normal partner curves of a pseudo null curve on dual space forms is defined and studied. The Frenet frames and curvatures of a pseudo null curve and its associate normal curve on de-Sitter space, its associate normal curve on hyperbolic space, are related by some particular function and the angles between their tangent vector fields, respectively. Meanwhile, the relationships between the normal partner curves of a pseudo null curve are revealed. Last but not least, some examples are given and their graphs are plotted by the aid of a software programme.

Keywords: pseudo null curve; normal partner curves; dual space forms; Minkowski space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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