The cyclides of third order in pseudoisotropic space. II. (Die Zykliden 3. Ordnung im pseudoisotropen Raum. II.)
The Gauss-Bonnet theorem for Cayley-Klein geometries of dimension two.
The integrability of a field of endomorphisms
A Theorem is proved that gives intrinsic necessary and sufficient conditions for the integrability of a zero-deformable field of endomorphisms. The Theorem is proved by reducing to a special case in which the endomorphism field is nilpotent. Many arguments used in the derivation of similar results are simplified, principally by means of using quotient rather than subspace constructions.
The Martin compactification of the Cartesian product of two hyperbolic spaces.
The Projectivization of Conformal Models of Fibrations Determined by the Algebra of Quaternions
Our aim is to study the principal bundles determined by the algebra of quaternions in the projective model. The projectivization of the conformal model of the Hopf fibration is considered as example.
The satellite kinematics in Bolyai-Lobachevsky geometry in elementary geometrical representation. (Die Satellit-Kinematik in der Bolyai-Lobatschefskyschen Geometrie in elementar-geometrischer Behandlung.)
Time-like isothermic surfaces associated to Grassmannian systems.
Two models of non-Euclidean spaces generated by associative algebras
Úvod do neeukleidovské geometrie [Book]
Variétés pseudo-ombilicales de codimension 2 et de courbure moyenne constante dans un espace elliptique à dimensions et généralisations
Weighted minimal translation surfaces in the Galilean space with density
Translation surfaces in the Galilean 3-space G3 have two types according to the isotropic and non-isotropic plane curves. In this paper, we study a translation surface in G3 with a log-linear density and classify such a surface with vanishing weighted mean curvature.
Weingarten hypersurfaces of the spherical type in Euclidean spaces
We generalize a parametrization obtained by A. V. Corro in (2006) in the three-dimensional Euclidean space. Using this parametrization we study a class of oriented hypersurfaces , , in Euclidean space satisfying a relation where is the th mean curvature and , these hypersurfaces are called Weingarten hypersurfaces of the spherical type. This class of hypersurfaces includes the surfaces of the spherical type (Laguerré minimal surfaces). We characterize these hypersurfaces in terms of harmonic...
Základy neeukleidovské geometrie Lobačevského [Book]
Zur Möbiusgeometrie der Kurventheorie.
Бесконечно малые изгибания первого и второго порядков поверхностей в пространстве Лобачевского
Вещественные 2-поверхности в двойных эрмитовых пространствах
Восстановление выпуклых поверхностей по внешней кривизне в галилеевом пространстве
Геометрия на m- поверхности квазиэллиптического пространства
Геометрия твисторов
Голоморфные поверхности и CR-поверхности G-эллиптического 6-пространства