Two-parametric motions in $E_3$

Karger, Adolf. "Two-parametric motions in $E_3$." Aplikace matematiky 32.2 (1987): 96-119. <http://eudml.org/doc/15483>.

@article{Karger1987,
abstract = {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 some others. The case of rolling of two isometric surfaces is treated in detail.},
author = {Karger, Adolf},
journal = {Aplikace matematiky},
keywords = {kinematics; two-parametric motions; rolling of two isometric surfaces; differential geometry; Lie groups and Lie algebras; kinematics; two-parametric motions; rolling of two isometric surfaces},
language = {eng},
number = {2},
pages = {96-119},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Two-parametric motions in $E_3$},
url = {http://eudml.org/doc/15483},
volume = {32},
year = {1987},
}

TY - JOUR
AU - Karger, Adolf
TI - Two-parametric motions in $E_3$
JO - Aplikace matematiky
PY - 1987
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 32
IS - 2
SP - 96
EP - 119
AB - 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 some others. The case of rolling of two isometric surfaces is treated in detail.
LA - eng
KW - kinematics; two-parametric motions; rolling of two isometric surfaces; differential geometry; Lie groups and Lie algebras; kinematics; two-parametric motions; rolling of two isometric surfaces
UR - http://eudml.org/doc/15483
ER -