Null helices and Cartan slant helices in Lorentz–Minkowski 3-space
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DOI: 10.1142/s0219887819501792
Abstract: In this paper, we study null helices, Cartan slant helices and two special developable surfaces associated to them in Lorentz–Minkowski 3-space. We give a method using a special plane curve to construct a null helix.… read more here.
Keywords: lorentz minkowski; cartan slant; helices cartan; null helices ... See more keywords
Evolutes of the (n,m)-cusp mixed-type curves in the Lorentz–Minkowski plane
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DOI: 10.1142/s0219887821500018
Abstract: The evolute of a regular curve in the Lorentz–Minkowski plane is given by the locus of centers of osculating pseudo-circle of the base curve. But the case when a curve has singularities is not very… read more here.
Keywords: lorentz minkowski; minkowski plane; cusp mixed; type curves ... See more keywords
Envelopes of circles and spacelike curves in the Lorentz–Minkowski 3-space
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DOI: 10.1515/forum-2019-0092
Abstract: Abstract The isotropy projection establishes a correspondence between curves in the Lorentz–Minkowski space ????13{\mathbf{E}_{1}^{3}} and families of cycles in the Euclidean plane (i.e., curves in the Laguerre plane ℒ2{\mathcal{L}^{2}}). In this paper, we shall give… read more here.
Keywords: curves lorentz; envelopes circles; lorentz minkowski; minkowski space ... See more keywords
Classification of Surfaces of Coordinate Finite Type in the Lorentz-Minkowski 3-Space
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DOI: 10.3390/axioms11070326
Abstract: In this paper, we define surfaces of revolution without parabolic points in three-dimensional Lorentz–Minkowski space. Then, we classify this class of surfaces under the condition ΔIIIx=Ax, where ΔIII is the Laplace operator regarding the third… read more here.
Keywords: minkowski space; surfaces coordinate; lorentz minkowski; classification surfaces ... See more keywords