Parameters of distribution of -dimensional monosystems in the Euclidean space
Polokanonický reper sítě na ploše v trojrozměrném afinním prostoru
Real hypersurfaces with a special transversal vector field
Real affine hypersurfaces of the complex space are studied. Some properties of the structure determined by a J-tangent transversal vector field are proved. Moreover, some generalizations of the results obtained by V. Cruceanu are given.
Real hypersurfaces with an induced almost contact structure
We study real affine hypersurfaces with an almost contact structure (φ,ξ,η) induced by any J-tangent transversal vector field. The main purpose of this paper is to show that if (φ,ξ,η) is metric relative to the second fundamental form then it is Sasakian and moreover f(M) is a piece of a hyperquadric in .
Real hypersurfaces with parallel induced almost contact structures
Real affine hypersurfaces of the complex space with a J-tangent transversal vector field and an induced almost contact structure (φ,ξ,η) are studied. Some properties of hypersurfaces with φ or η parallel relative to an induced connection are proved. Also a local characterization of these hypersurfaces is given.
Recent research in affine differential geometry.
Regelflächen im zentroaffinen Raum.
Reper sítě na ploše
Reper sítě na ploše v trojrozměrném afinním prostoru
Reperáž systému anholonomních subvariet trojrozměrné variety v pětirozměrném ekviafinním prostoru
Research works of Romanian mathematicians on centro-affine geometry.
Rotations and Hermitian Symmetric Spaces.
Semicanonical moving frame of the hypersurface in a unimodular 4-dimensional affine space
Some Equivalence Theorems in Affine Hypersurface Theory.
Some remarks on the Kozlowski-Simon conjecture for affine ovaloids
In this note, we are concerned with the Kozlowski-Simon conjecture on ovaloids and prove that it is correct under additional conditions.
Some results on projectively flat affine surfaces
We focus our attention on projectively flat affine surfaces. First, we classify the affine surfaces with projectively flat induced connection and constant Pick invariant. We also investigate the compact case and study how the geometry at the boundary determines the geometry of the surface.
Statistical structures on tangent bundles.
Structures localement plates isotropes des groupes de Lie
Styk variet v afinnom priestore
Surfaces in general affine space