… the weighted curvatures of non-null planar curves in LorentzMinkowski space with density
eax2+by2 and obtain the planar curves whose weighted curvatures … b are not zero at the same …

… the weighted curvatures of non-null planar curves in LorentzMinkowski space with density
eax2+by2 and obtain the planar curves whose weighted curvatures … b are not zero at the same …

… a class of non-cylindrical ruled surface with null rulings, in … -degenerate surfaces of revolutions
generated by non-null curve … a surface with zero weighted mean curvature, ie a weighted …

… where K is the Gaussian curvature of a surface and Δ is the Laplacian operator. If a surface’s
weighted Gaussian curvature is zero everywhere, then we call it a weighted flat surface. Ac…

… be negative, positive, or zero, whereas the Euclidean distance … have a non-null line congruence
by common non-null line … follows: γ is the spherical curvature of the image curve ζ 1 ( t ) ; …

… we give the weighted curvatures of non-null planar curves in Lorentz-… curves whose weighted
curvatures vanish in this space under the condition that the constants a and b are not zero …

… We will also generate transformations with which to transform those primitives, such as
rotations… 7Points themselves can be weighted by changing the value of their no basis vector. Note …

… , geodesic and curvature lines of the parameter curves of these surfaces. … by the vectors of
the Frenet frame of non-null space curves in … are a line of curvature if and only if τ = 0 and κ 0. …

… give weighted mean and weighted Gaussian curvatures of … rotational surfaces with non-null
plane meridian curves in four-… Rotational and ruled surfaces generated by planar curves in …

… spine non-null curve. In this work we will assume that M is a timelike … 0, and σ = η = 0, the
spine curve is perpendicular to the … surfaces analogous to that of non-cylindrical ruled surfaces. …