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

Karger, Adolf. "The Darboux theorem on plane trajectories of two-parametric space motions." Aplikace matematiky 33.6 (1988): 417-442. <http://eudml.org/doc/15554>.

@article{Karger1988,
abstract = {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.},
author = {Karger, Adolf},
journal = {Aplikace matematiky},
keywords = {two parametric space motions; Darboux-theorem; kinematics geometry; two parametric space motions; Darboux-theorem; kinematics},
language = {eng},
number = {6},
pages = {417-442},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {The Darboux theorem on plane trajectories of two-parametric space motions},
url = {http://eudml.org/doc/15554},
volume = {33},
year = {1988},
}

TY - JOUR
AU - Karger, Adolf
TI - The Darboux theorem on plane trajectories of two-parametric space motions
JO - Aplikace matematiky
PY - 1988
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 33
IS - 6
SP - 417
EP - 442
AB - 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.
LA - eng
KW - two parametric space motions; Darboux-theorem; kinematics geometry; two parametric space motions; Darboux-theorem; kinematics
UR - http://eudml.org/doc/15554
ER -