The restriction of the Fourier transform to some curves and surfaces
The role of symmetry and separation in surface evolution and curve shortening.
The rosettes.
The satellite kinematics in Bolyai-Lobachevsky geometry in elementary geometrical representation. (Die Satellit-Kinematik in der Bolyai-Lobatschefskyschen Geometrie in elementar-geometrischer Behandlung.)
The second variation of area of minimal surfaces in four-manifolds.
The shape of a figure-eight under the curve shortening flow.
The single screw reciprocal to the general plane-symmetric six-screw linkage.
The size of the shadow boundary pojection.
The space of minimal embeddings of a surface into a three-dimensional manifold of positive Ricci curvature.
The Steiner formulas for the open planar homothetic motions.
The strong halfspace theorem for minimal surfaces.
The Structure of Minimizing Hypersurfaces Mod 4.
The structure of single-periodic minimal surfaces.
The structure tensor and first order natural differential operators
The notion of a structure tensor of section of first order natural bundles with homogeneous standard fibre is introduced. Properties of the structure tensor operator are studied. The universal factorization property of the structure tensor operator is proved and used for classification of first order -natural differential operators for .
The symplectic structure of curves in three dimensional spaces of constant curvature and the equations of mathematical physics
The Theory of differential invariance and infinite dimensional Hamiltonian evolutions
In this paper we describe the close relationship between invariant evolutions of projective curves and the Hamiltonian evolutions of Adler, Gel'fand and Dikii. We also show how KdV evolutions are related as well to invariant evolutions of projective surfaces.
The theory of differential invariants and KDV hamiltonian evolutions
The topology of large -surfaces bounded by a convex curve
The trace decomposition problem.
The triply periodic minimal surfaces of Alan Schoen and their constant mean curvature companions.