On some classes of curves in a projective space
On the affine rectification of convex curves.
On the arc length of parametric cubic curves.
On the Differentiability of the Coordinate Functions of Póyla's Space-Filling Curve.
On the four vertex theorem in planes with radial density
It is shown that in a plane with a radial density the four vertex theorem holds for the class of all simple closed curves if and only if the density is constant. On the other hand, for the class of simple closed curves that are invariant under a rotation about the origin, the four vertex theorem holds for every radial density.
On the four-vertex theorem.
On the length of space curves of constant width.
On the motion of a curve by its binormal curvature
We propose a weak formulation for the binormal curvature flow of curves in . This formulation is sufficiently broad to consider integral currents as initial data, and sufficiently strong for the weak-strong uniqueness property to hold, as long as self-intersections do not occur. We also prove a global existence theorem in that framework.
On the polar moment of inertia of the projection curve.
On the tangential velocity arising in a crystalline approximation of evolving plane curves
In a crystalline algorithm, a tangential velocity is used implicitly. In this short note, it is specified for the case of evolving plane curves, and is characterized by using the intrinsic heat equation.
On the total absolute curvature of closed curves in spheres.
One more definition of the curvature and torsion of smooth curves
Original title unknown
Osculating plane preserving diffeomorphisms.