O bodové deformaci kongruencí rovin v pětirozměrném projektivním prostoru
O projektivních deformacích kongruencí rovin v -rozměrném projektivním prostoru
On a new normalization for tractor covariant derivatives
A regular normal parabolic geometry of type on a manifold gives rise to sequences of invariant differential operators, known as the curved version of the BGG resolution. These sequences are constructed from the normal covariant derivative on the corresponding tractor bundle , where is the normal Cartan connection. The first operator in the sequence is overdetermined and it is well known that yields the prolongation of this operator in the homogeneous case . Our first main result...
On a result of Tzitzeica and a new asymptotic transformation of minimal projective surfaces
On curvature collineations on simple conformally recurrent manifolds
On inversions of van der Grinten projections
Approximately 150 map projections are known, but the inverse forms have been published for only two-thirds of them. This paper focuses on finding the inverse forms of van der Grinten projections I--IV, both by non-linear partial differential equations and by the straightforward inverse of their projection equations. Taking into account the particular cases, new derivations of coordinate functions are also presented. Both the direct and inverse equations have the analytic form, are easy to implement...
On singular projective deformations of two second class totally focal pseudocongruences of planes.
On some classes of curves in a projective space
On special plane nets
On surfaces and their contours.
On the Converse of Weyl's Conformal and Projective Theorems
On the integral geometry of the linear subspaces in a biplanar space
On the local differential geometry of complete intersections