The search session has expired. Please query the service again.
Displaying 741 –
760 of
2730
The author studies the Euclidean space motions with the property that the trajectory of every point is an affine image of a given space curve. Such motions split into plane motions and translations and their trajectories are cylindrical curves.
They are characterized as motions with the following property: Not all trajectories are plane curves and if any trajectory has a planar point, it lies in a plane. Motions with infinitely many straight trajectories form a special subclass of those motions....
Trojrozměrný svět je pro nás tak přirozený, že si lze jen obtížně představit a popsat vesmír ve čtyřech nebo více dimenzích. Pojďme společně poodhalit závoj tohoto tajemství a prozkoumat vlastnosti vícerozměrných analogií krychle a koule.
H. A. Wilbrink [Geom. Dedicata 12 (1982)] considered a class of Minkowski planes whose restrictions, called residual planes, are nearaffine planes. Our study goes in the opposite direction: what conditions on a nearaffine plane are necessary and sufficient to get an extension which is a hyperbola structure.
We prove some extension theorems involving uniformly continuous maps of the universal Urysohn space. As an application, we prove reconstruction theorems for certain groups of autohomeomorphisms of this space and of its open subsets.
Currently displaying 741 –
760 of
2730