Displaying similar documents to “A contribution to embracing the basic conceptions of the integral geometry within the scope of ideas of lie's group theory”

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

Adolf Karger (1988)

Aplikace matematiky

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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.