On Closed Space Curves in Minkowski Space–Time $${E_v^n}$$

Abstract

A criterion for a 3-space curve to be closed has been presented in “Chung: Proc. Am. Math. Soc. 83, 357–361 (1981)”. In this paper, following same procedure, we give generalization of the criterion for a 3-space curve to an n-space curve to be closed in Minkowski space–time \({E_v^n}\) . Furthermore, we apply this criterion for a curve lying on an oriented surface in the Minkowski 3-space \({E_1^3}\) as an application.