A characterization of regular saddle surfaces in the hyperbolic and spherical three-space.
A metric induced by the geometric interpretation of Rolle's theorem.
A note on surfaces with prescribed oriented Euclidean Gauss map.
A theory on non-developable generalized ruled surfaces in the elliptic space
An alternative moving frame for tubular surfaces around time-like curves in the Minkowski 3-space.
Ball models in Hermitian spaces.
Biharmonic curves in Minkowski 3-space. II.
Commensurability classes and volumes of hyperbolic 3-manifolds
Compact Hypersurfaces with a Constant Higher Mean Curvature Function.
Complex hyperbolic ideal triangle groups.
Complex timelike isothermic surfaces and their geometric transformations.
Conformal scalar curvature on the hyperbolic space.
Constant Mean Curvature Tori with spherical curvature lines in noneuclidean geometry.
Curves and surfaces in hyperbolic space
In the first part (Sections 2 and 3), we give a survey of the recent results on application of singularity theory for curves and surfaces in hyperbolic space. After that we define the hyperbolic canal surface of a hyperbolic space curve and apply the results of the first part to get some geometric relations between the hyperbolic canal surface and the centre curve.
Die metrische Theorie der linearen Komplexbündel vom Typ des einfach isotropen Raumes J...
Die windschiefen Flächen mit einer stetigen Schar ebener Schattengrenzen I.
Die windschiefen Flächen mit einer stetigen Schar ebener Schattengrenzen II.
Discrétisation de zeta-déterminants d’opérateurs de Schrödinger sur le tore
Nous donnons ici deux résultats sur le déterminant -régularisé d’un opérateur de Schrödinger sur une variété compacte . Nous construisons, pour , une suite où est un graphe fini qui se plonge dans via de telle manière que soit une triangulation de et où est un laplacien discret sur tel que pour tout potentiel sur , la suite de réels converge après renormalisation vers . Enfin, nous donnons sur toute variété riemannienne compacte de dimension inférieure ou égale à ...
Elastic Sturmian spirals in the Lorentz-Minkowski plane
In this paper we consider some elastic spacelike and timelike curves in the Lorentz-Minkowski plane and obtain the respective vectorial equations of their position vectors in explicit analytical form. We study in more details the generalized Sturmian spirals in the Lorentz-Minkowski plane which simultaneously are elastics in this space.
Euler-Savary's formula on Minkowski geometry.