in this paper, two new hamilton operators are defined and the algebra of dual split quaternions isdeveloped using these operators. it is shown that finite screw motions in minkowski 3-space can be expressedby dual-number ( 3×3 ) matrices in dual lorentzian space. moreover, by means of hamilton operators, screwmotion is obtained in 3-dimensional minkowski space 3r1

In this paper we study the impact of Minkowski metric matrix on a projection in the Minkowski Space M along with their basic algebraic and geometric properties.The relation between the m-projections and the Minkowski inverse of a matrix A in the minkowski space M is derived. In the remaining portion commutativity of Minkowski inverse in Minkowski Space M is analyzed in terms of m-projections as...

in this paper we study the impact of minkowski metric matrix on a projection in theminkowski space m along with their basic algebraic and geometric properties.the relationbetween the m-projections and the minkowski inverse of a matrix a in the minkowski spacemis derived. in the remaining portion commutativity of minkowski inverse in minkowski spacem is analyzed in terms of m-projections as an a...

For a curve on the plane, there exists at fixed distance (except for some degenerate cases). The can be alternatively produced as an envelope of circles with radius moving along . As result, when this structure is translated to three-dimensional space two parallel curves are obtained. In study defining time-like 3-dimensional Minkowski space, important theorems about these stated and proved.

We discuss the concept of the bisector of a segment in a Minkowski normed n-space. We prove that all bisectors are topological images of a plane of the embedding Euclidean 3-space iff the shadow boundaries of the unit ball K are topological circles. To a conjectured proving strategy for dimensions n, we introduce the concept of general parameter sphere of the unit ballK, corresponding to a dire...

We characterize all ruled translating solitons in Minkowski 3-space. In contrast to the Euclidean space, we find that are not cylindrical. These surfaces appear when vector field defines rulings, viewed as a curve, is lightlike straight line. also classify cylindrical solitons, obtaining can be considered analogous grim reapers of but other which have no counterpart space.