The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Displaying similar documents to “Projective plane motions with infinitely many straight trajectories”

Euclidean space motions with affinely equivalent trajectories

Adolf Karger (1983)

Aplikace matematiky

Similarity:

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...

The Darboux theorem on plane trajectories of two-parametric space motions

Adolf Karger (1988)

Aplikace matematiky

Similarity:

The paper contains the proof of the classification theorem for two-parametric space motions with at least 5 points with plane trajectories. The proof is based on [1] and on the cannonical form of a certain tensor of order 3. The second part of the paper deals with the problem of plane trajectories from the differential-geometrical point of view. Some applications are given.