Classification of projective space motions with only plane trajectories

Adolf Karger

Aplikace matematiky (1989)

  • Volume: 34, Issue: 2, page 133-145
  • ISSN: 0862-7940

Abstract

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The paper contains the solution of the classification problem for all motions in the complex projective space, which have only plane trajectories. It is shown that each such motion is a submanifold of a maximal motion with the same property. Maximal projective space motions with only plane trajectories are determined by special linear submanifolds of dimensions 2, 3, 5, 8 in G L ( 4 , C ) , they are denoted as R , E 1 , . . . , E 6 , S 1 , S 2 and given by explicit expressions.

How to cite

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Karger, Adolf. "Classification of projective space motions with only plane trajectories." Aplikace matematiky 34.2 (1989): 133-145. <http://eudml.org/doc/15570>.

@article{Karger1989,
abstract = {The paper contains the solution of the classification problem for all motions in the complex projective space, which have only plane trajectories. It is shown that each such motion is a submanifold of a maximal motion with the same property. Maximal projective space motions with only plane trajectories are determined by special linear submanifolds of dimensions 2, 3, 5, 8 in $GL(4,C)$, they are denoted as $R, E_1, ..., E_6, S_1, S_2$ and given by explicit expressions.},
author = {Karger, Adolf},
journal = {Aplikace matematiky},
keywords = {projective kinematics; special $s$-parameter motion; projective kinematics; special s-parameter motion},
language = {eng},
number = {2},
pages = {133-145},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Classification of projective space motions with only plane trajectories},
url = {http://eudml.org/doc/15570},
volume = {34},
year = {1989},
}

TY - JOUR
AU - Karger, Adolf
TI - Classification of projective space motions with only plane trajectories
JO - Aplikace matematiky
PY - 1989
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 34
IS - 2
SP - 133
EP - 145
AB - The paper contains the solution of the classification problem for all motions in the complex projective space, which have only plane trajectories. It is shown that each such motion is a submanifold of a maximal motion with the same property. Maximal projective space motions with only plane trajectories are determined by special linear submanifolds of dimensions 2, 3, 5, 8 in $GL(4,C)$, they are denoted as $R, E_1, ..., E_6, S_1, S_2$ and given by explicit expressions.
LA - eng
KW - projective kinematics; special $s$-parameter motion; projective kinematics; special s-parameter motion
UR - http://eudml.org/doc/15570
ER -

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