We study the equation for improper (parabolic) affine spheres from the view point of contact
geometry and provide the generic classification of singularities appearing in geometric …

The broad subject of this dissertation can be described as “the geometry of the second
fundamental form.” I have not restricted myself to a mere presentation of the handful new …

We study a generalization of constant Gauss curvature-1-1 surfaces in Euclidean 3-space,
based on Lorentzian harmonic maps, that we call pseudospherical frontals. We analyse the …

The geometric Cauchy problem for a class of surfaces in a pseudo-Riemannian manifold of
dimension 3 is to find the surface which contains a given curve with a prescribed tangent …

Wave maps (or Lorentzian-harmonic maps) from a $1+ 1$-dimensional Lorentz space into
the $2 $-sphere are associated to constant negative Gaussian curvature surfaces in …

The classical result of describing harmonic maps from surfaces into symmetric spaces of
reductive Lie groups [9] states that the Maurer-Cartan form with an additional parameter, the …

We prove a global Birkhoff decomposition for almost split real forms of loop groups, when an
underlying finite dimensional Lie group is compact. Among applications, this shows that the …

In this paper we study constant positive Gauss curvature K surfaces in the 3-sphere S 3 with
0< K< 1, as well as constant negative curvature surfaces. We show that the so-called normal …

The large area Josephson junction is considered. On the basis of Maxwell equations the
influence of the magnetic field on fluxion dynamics is considered. The presented studies …

A Josephson junction is a device made of two superconducting electrodes separated by a
very thin layer of isolator or normal metal. This relatively simple device has found a variety of …