Projective plane motions with infinitely many straight trajectories
Aplikace matematiky (1985)
- Volume: 30, Issue: 1, page 36-49
- ISSN: 0862-7940
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topKarger, Adolf. "Projective plane motions with infinitely many straight trajectories." Aplikace matematiky 30.1 (1985): 36-49. <http://eudml.org/doc/15383>.
@article{Karger1985,
abstract = {The paper deals with one-parametric projective plane motins with the property that all points of the inflexion cubic have straight trajectories. It is shown that such motions have in the general case projective equivalent trajectories and that the inflexion cubic is in general irreducible. The cases of the above mentioned motions with reducible inflexion cubic are discussed in detail. The connection with the Darboux property is also mentioned.},
author = {Karger, Adolf},
journal = {Aplikace matematiky},
keywords = {elliptic motion; projective plane motions; inflexion cubic; Darboux motions; elliptic motion; projective plane motions; inflexion cubic; Darboux motions},
language = {eng},
number = {1},
pages = {36-49},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Projective plane motions with infinitely many straight trajectories},
url = {http://eudml.org/doc/15383},
volume = {30},
year = {1985},
}
TY - JOUR
AU - Karger, Adolf
TI - Projective plane motions with infinitely many straight trajectories
JO - Aplikace matematiky
PY - 1985
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 30
IS - 1
SP - 36
EP - 49
AB - The paper deals with one-parametric projective plane motins with the property that all points of the inflexion cubic have straight trajectories. It is shown that such motions have in the general case projective equivalent trajectories and that the inflexion cubic is in general irreducible. The cases of the above mentioned motions with reducible inflexion cubic are discussed in detail. The connection with the Darboux property is also mentioned.
LA - eng
KW - elliptic motion; projective plane motions; inflexion cubic; Darboux motions; elliptic motion; projective plane motions; inflexion cubic; Darboux motions
UR - http://eudml.org/doc/15383
ER -
References
top- H. Frank, Ebene projektive Kinematik, Dissertation Univ. Karlsruhe, 1968. (1968)
- J. Tölke, 10.1002/mana.3210630114, Math. Nachr. 63 (1974) 167-185, 187-196; 68 (1975) 221-237. (1974) MR0365376DOI10.1002/mana.3210630114
- A. Karger, Affine Darboux motions, Czech. Math. Journ., in print. Zbl0597.53004
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