Detail publikace

Generalized planar curves and quaternionic geometry.

HRDINA, J. SLOVÁK, J.

Originální název

Generalized planar curves and quaternionic geometry.

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

Motivated by the analogies between the projective and the almost quaternionic geometries, we first study the generalizd planar curves and mappings. We follow, recover, and extend the classical approach. Then we exploit the impact of the general results in the almost quaternionic geometry. In particular, we show, that the natural class of H-planar curves coincides with the class of all geodesics of the so called Weyl connections and preserving this class turns out to be the necessary and sufficient condition on diffeomorphisms to become morphisms of almost quaternionic geometries. Anotace anglicky: Motivated by the analogies between the projective and the almost quaternionic geometries, we first study the generalizd planar curves and mappings. We follow, recover, and extend the classical approach. Then we exploit the impact of the general results in the almost quaternionic geometry. In particular, we show, that the natural class of H-planar curves coincides with the class of all geodesics of the so called Weyl connections and preserving this class turns out to be the necessary and sufficient condition on diffeomorphisms to become morphisms of almost quaternionic geometries.

Autoři

HRDINA, J.; SLOVÁK, J.

Vydáno

1. 7. 2006

Nakladatel

Ann. Global Anal. Geom. 29, No. 4, Springer

ISSN

0232-704X

Periodikum

ANNALS OF GLOBAL ANALYSIS AND GEOMETRY

Stát

Nizozemsko

Strany od

349

Strany do

360

Strany počet

12

BibTex

@article{BUT49394,
  author="Jaroslav {Hrdina} and Jan {Slovák}",
  title="Generalized planar curves and quaternionic geometry.",
  journal="ANNALS OF GLOBAL ANALYSIS AND GEOMETRY",
  year="2006",
  pages="349--360",
  issn="0232-704X"
}