Add to ORKGIn this paper, we investigate the inflection circle, circling-point curve, and center-point curve for the original and inverse motion of Minkowski planes, and we also deal with their degenerate cases individually. For this purpose, we consider the trajectory of origin with respect to the instantaneous invariants of Bottema in Minkowski plane by using hyperbolic numbers. Finally, we give the geometric interpretation of the circling-point and center-point curves by comparing the original and inverse motion in Minkowski planes
Recently, extensive research has been done on evolute curves in Minkowski space-time. However, the s...
It has become generally recognized that hyperbolic (i.e. Lobachevskian) space can be represented upo...
In this paper, we obtain explicit parameter equations of spacelike rectifying curves in $E^3_1$ whos...
In this paper a Minkowski analogue of the Euclidean medial axis of a closed and smooth plane curve i...
In this study, we consider the kinematics of the hyperbolic plane and define the notions of inflecti...
International audienceGeneral offset curves are treated in the context of Minkowski geometry, the ge...
summary:In this paper we study the geometry of Minkowski plane and obtain some results. We focus on ...
We study the caustic, evolute, Minkowski symmetry set and parallels of a smooth and regular curve in...
In view of these basic facts, it is natural to ask the following geometric question:" What is the lo...
The results presented in this dissertation refer to the geometry of Minkowski spaces, i.e., of real ...
In this work, we study Lorentzian spherical motion of rigid bodies by using instantaneous invariants...
This work re-examines some classical results in the kinematics of points in space using modern vecto...
Abstract. In this paper we study the curvature flow of a curve in a plane endowed with a minkowskian...
Bu çalışma beş bölümden oluşmaktadır. 1.Bölümde Yarı Riemann uzayı, Lorentz Uzayı, Minkowki uzayında...
A more adequate description of perturbed hyperbolic orbits is found in the geometry underlying Minko...
Recently, extensive research has been done on evolute curves in Minkowski space-time. However, the s...
It has become generally recognized that hyperbolic (i.e. Lobachevskian) space can be represented upo...
In this paper, we obtain explicit parameter equations of spacelike rectifying curves in $E^3_1$ whos...
In this paper a Minkowski analogue of the Euclidean medial axis of a closed and smooth plane curve i...
In this study, we consider the kinematics of the hyperbolic plane and define the notions of inflecti...
International audienceGeneral offset curves are treated in the context of Minkowski geometry, the ge...
summary:In this paper we study the geometry of Minkowski plane and obtain some results. We focus on ...
We study the caustic, evolute, Minkowski symmetry set and parallels of a smooth and regular curve in...
In view of these basic facts, it is natural to ask the following geometric question:" What is the lo...
The results presented in this dissertation refer to the geometry of Minkowski spaces, i.e., of real ...
In this work, we study Lorentzian spherical motion of rigid bodies by using instantaneous invariants...
This work re-examines some classical results in the kinematics of points in space using modern vecto...
Abstract. In this paper we study the curvature flow of a curve in a plane endowed with a minkowskian...
Bu çalışma beş bölümden oluşmaktadır. 1.Bölümde Yarı Riemann uzayı, Lorentz Uzayı, Minkowki uzayında...
A more adequate description of perturbed hyperbolic orbits is found in the geometry underlying Minko...
Recently, extensive research has been done on evolute curves in Minkowski space-time. However, the s...
It has become generally recognized that hyperbolic (i.e. Lobachevskian) space can be represented upo...
In this paper, we obtain explicit parameter equations of spacelike rectifying curves in $E^3_1$ whos...