Structure Functions of Pseudo Null Curves in Minkowski 3-Space

Jinhua Qian, Jie Liu, Xueqian Tian and Young Ho Kim
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Jinhua Qian: Department of Mathematics, Northeastern University, Shenyang 110004, China
Jie Liu: 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 1, 1-15

Abstract: In this work, the embankment surfaces with pseudo null base curves are investigated in Minkowski 3-space. The representation formula of pseudo null curves is obtained via the defined structure functions and the k-type pseudo null helices are discussed completely. Based on the theories of pseudo null curves, a class of embankment surfaces are constructed and characterized by the structure functions of the pseudo null base curves.

Keywords: pseudo null curve; structure function; embankment surface; Minkowski space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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