N-BISHOP DARBOUX VECTOR OF A TIMELIKE CURVE IN MINKOWSKI 3-SPACE

Weierstrass Representation for Timelike Minimal Surfaces in Minkowski 3-space

Using techniques of integrable systems, we study a Weierstraß representation formula for timelike surfaces with prescribed mean curvature in Minkowski 3-space. It is shown that timelike minimal surfaces are obtained by integrating a pair of Lorentz holomorphic and Lorentz antiholomorphic null curves in Minkowski 3-space. The relationship between timelike minimal surfaces and bosonic Nambu-Goto ...

On the Dual Darboux Rotation Axis of the Timelike Dual Space Curve

In this paper, the Dual Darboux rotation axis for timelike dual space curve in the semi-dual space D 1 is decomposed in two simultaneous rotation. The axis of these simultaneous rotations are joined by a simple mechanism. This study is original corresponding in the semi-dual space D 1 of the article entitled On the Dual Darboux Rotation Axis of the Dual Space Curve [6]. Mathematics Subject Clas...

Spacelike and Timelike Normal Curves in Minkowski Space-time

We define normal curves in Minkowski space-time E4 1 . In particular, we characterize the spacelike normal curves in E4 1 whose Frenet frame contains only non-null vector fields, as well as the timelike normal curves in E4 1 , in terms of their curvature functions. Moreover, we obtain an explicit equation of such normal curves with constant curvatures.

Generalized Timelike Mannheim Curves in Minkowski Space - Time E 41

Bjorling Problem for Timelike Surfaces in the Lorentz-Minkowski Space

We introduce a new approach to the study of timelike minimal surfaces in the Lorentz-Minkowski space through a split-complex representation formula for this kind of surface. As applications, we solve the Björling problem for timelike surfaces and obtain interesting examples and related results. Using the Björling representation, we also obtain characterizations of minimal timelike surfaces of r...