Fibrés vectoriels positifs sur une courbe elliptique
Flat tensor product surfaces of pseudo-Euclidean curves
We determine the flat tensor product surfaces of two curves in pseudo-Euclidean spaces of arbitrary dimensions.
Generalized timelike Mannheim curves in Minkowski space-time .
Géométrie d'une famille de groupes agissant sur le produit de deux variétés d'Hadamard
Geometry of the manifold of -planes of an elliptic -space.
Helicoidal surfaces in Minkowski space with constant mean curvature and constant Gauss curvature
We classify all helicoidal non-degenerate surfaces in Minkowski space with constant mean curvature whose generating curve is a the graph of a polynomial or a Lorentzian circle. In the first case, we prove that the degree of the polynomial is 0 or 1 and that the surface is ruled. If the generating curve is a Lorentzian circle, we prove that the only possibility is that the axis is spacelike and the center of the circle lies on the axis.
h-konvexe Kurven in der hyperbolischen Ebene.
Hyperbolic geometry in hyperbolically k-convex regions
Hyperbolicity of the Complement of Plane Curves.
Hyperbolization of Euclidean ornaments.
Immersions in a hyperbolic manifold.
Instability of constant mean curvature surfaces of revolution in spherically symmetric spaces.
Isometric Immersions of the Hyperbolic Plane into the Hyperbolic Space.
Kinematic geometry in -dimensional Euclidean and spherical space
Kinematik der hyperbolischen Ebene. II. Symmetrische Rollungen.
Kinematik der hyperbolischen Ebene. III.
Laguerresche Differentialgeometrie und Kinematik
In this paper the plane Laguerre’s geometry in the augmented plane of dual numbers is presented. Basic integral and differential invariants of -curves in the plane are deduced, i.e. the -curve arc, -curvature, -minimal curves, -circle. Furthermore the contact of -curves, -osculating circle, -evolute of a curve and some special -motions are studied from the point of view of -Differential geometry.
Legendrian dual surfaces in hyperbolic 3-space
We consider surfaces in hyperbolic 3-space and their duals. We study flat dual surfaces in hyperbolic 3-space by using extended Legendrian dualities between pseudo-hyperspheres in Lorentz-Minkowski 4-space. We define the flatness of a surface in hyperbolic 3-space by the degeneracy of its dual, which is similar to the case of the Gauss map of a surface in Euclidean 3-space. Such surfaces are a kind of ruled surfaces. Moreover, we investigate the singularities of these surfaces and the dualities...
Lightlike ruled surfaces in .
Lokale Untersuchungen an Normalkongruenzen im Dreidimensionalen elliptischen Raum.