Non-Null Weakened Mannheim Curves in Minkowski 3-Space

No Null-Helix Mannheim Curves in the Minkowski Space E13

In the study of the fundamental theory and the characterizations of space curves, the related curves for which there exist corresponding relations between the curves are very interesting and important problems. The most fascinating examples of such curve are associated curves, the curves for which at the corresponding points of them one of the Frenet vectors of a curve coincides with the one of...

Generalized Timelike Mannheim Curves in Minkowski Space - Time E 41

Biharmonic Curves in Minkowski 3-space

We give a differential geometric interpretation for the classification of biharmonic curves in semi-Euclidean 3-space due to Chen and Ishikawa (1991).

Generalized Null 2-Type Surfaces in Minkowski 3-Space

For the mean curvature vector field H and the Laplace operator ∆ of a submanifold in the Minkowski space, a submanifold satisfying the condition ∆H = f H + gC is known as a generalized null 2-type, where f and g are smooth functions, and C is a constant vector. The notion of generalized null 2-type submanifolds is a generalization of null 2-type submanifolds defined by B.-Y. Chen. In this paper...

On Pseudospherical Smarandache Curves in Minkowski 3-Space

1 Department of Mathematics, Faculty of Sciences, University of Çankiri Karatekin, 18100 Çankiri, Turkey 2 School of Mathematics & Statistical Sciences, Room PSA442, Arizona State University, Tempe, AZ 85287-1804, USA 3Department of Mathematics, Faculty of Sciences and Arts, University of Kirikkale, 71450 Kirikkale, Turkey 4Department of Mathematics and Informatics, Faculty of Science, Universi...