The Nonexistence of Certain Topological Polygons.
The nonexistence of rank 4 IP tensors in signature .
The Nonlinear Connections and Harmonicity.
The nonuniqueness of Chekanov polynomials of Legendrian knots.
The Novikov-Veselov hierarchy of equations and integrable deformations of minimal Lagrangian tori in .
The null condition and global existence for nonlinear wave equations on slowly rotating Kerr spacetimes
We study a semilinear equation with derivatives satisfying a null condition on slowly rotating Kerr spacetimes. We prove that given sufficiently small initial data, the solution exists globally in time and decays with a quantitative rate to the trivial solution. The proof uses the robust vector field method. It makes use of the decay properties of the linear wave equation on Kerr spacetime, in particular the improved decay rates in the region .
The “octoid” with triple planar symmetry and its point orbits. (Das dreifach plansymmetrische "Oktoid" und seine Punktbahnen.)
The Order of Helical Minimal Imbeddings of Strongly Harmonic Manifolds.
The osculating hyperquadrics of the three-component distribution in affine space
The Painlevé III equation and the Iwasawa decomposition.
The Paneitz equation in hyperbolic space
The PDE describing constant mean curvature surfaces
We give an expository account of a Weierstrass type representation of the non-zero constant mean curvature surfaces in space and discuss the meaning of the representation from the point of view of partial differential equations.
The pedal point generation of circular curves of order three in the isotropic plane. (Die Fußpunkterzeugung der zirkulären Kurven 3. Ordnung in der isotropen Ebene.)
The pedal surfaces of -congruences with a one-parameter set of ellipses.
The Penrose transform and Clifford analysis
[For the entire collection see Zbl 0742.00067.]The Penrose transform is always based on a diagram of homogeneous spaces. Here the case corresponding to the orthogonal group is studied by means of Clifford analysis [see F. Brackx, R. Delanghe and F. Sommen: Clifford analysis (1982; Zbl 0529.30001)], and is presented a simple approach using the Dolbeault realization of the corresponding cohomology groups and a simple calculus with differential forms (the Cauchy integral formula for solutions of...
The periodic Floer homology of a Dehn twist.
The Plancherel formula for the pseudo-riemannian space
The Plane-Time in Which Paths of Inertional Motions Are Conics
The Plateau problem for the prescribed mean curvature equation
The Plateau-Douglas problem for nonorientable minimal surfaces.