Abstract: In this paper, we study inextensible flows of spacelike curves lying fully on a spacelike surface Ω according to equiform frame in 4-dimensional Minkowski space R_1^4. We give necessary and sufficient conditions for this inextensible flows which are expressed as a partial differential equation involving the equiform curvature functions in 4-dimensional Minkowski space R_1^4. Finally we give an application of inextensible flows of spacelike curves in R_1^4.
W. M. Mahmoud, Alaa Hassan Noreldeen, "Inextensible Flows of Spacelike Curves According to Equiform Frame in 4-dimensional Minkowski Space R41," WSEAS Transactions on Mathematics, vol. 19, pp. 683-698, 2020, DOI:10.37394/23206.2020.19.75
W. M. Mahmoud, Alaa Hassan Noreldeen. Inextensible Flows of Spacelike Curves According to Equiform Frame in 4-dimensional Minkowski Space R41.
WSEAS Transactions on Mathematics. 2020;19:683-698. 10.37394/23206.2020.19.75