Kinematic geometry of regular motions in homogeneous space
Adolf Karger (1978)
Czechoslovak Mathematical Journal
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Displaying similar documents to “Kinematic geometry in -dimensional Euclidean and spherical space”
Kinematic geometry of regular motions in homogeneous space
Two-parametric motions in
Adolf Karger (1987)
Aplikace matematiky
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The paper deals with the local differential geometry of two-parametric motions in the Euclidean space. The first part of the paper contains contemporary formulation of classical results in this area together with the connection to the elliptical differential geometry. The remaining part contains applications. Necessary and sufficient conditions for splitting of a two-parametric motion into a product of two one-parametric motions, characterization of motions with constant invariants and...
The Euclidean plane kinematics
El Said El Shinnawy (1979)
Aplikace matematiky
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Restricting his considerations to the Euclidean plane, the author shows a method leading to the solution of the equivalence problem for all Lie groups of motions. Further, he presents all transitive one-parametric system of motions in the Euclidean plane.
3-parametric robot manipulator with intersecting axes
Jerzy Gądek (1995)
Applications of Mathematics
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A -parametric robot manipulator is a mapping of into the homogeneous space represented by the formula , where is the Lie group of all congruences of and are fixed vectors from the Lie algebra of . In this paper the -parametric robot manipulator will be expressed as a function of rotations around its axes and an invariant of the motion of this robot manipulator will be given. Most of the results presented here have been obtained during the author’s stay at Charles University...