Detail publikace

ALMOST COMPLEX PROJECTIVE STRUCTURES AND THEIR MORPHISMS

HRDINA, J.

Anglický název

ALMOST COMPLEX PROJECTIVE STRUCTURES AND THEIR MORPHISMS

Typ

Článek recenzovaný mimo WoS a Scopus

Jazyk

en

Originální abstrakt

We discuss almost complex projective geometry and the relations to a distinguished class of curves. We present the geometry from the viewpoint of the theory of parabolic geometries and we shall specify the classical genera- lizations of the concept of the planarity of curves to this case. In particular, we show that the natural class of J-planar curves coincides with the class of all geodesics of the so called Weyl connections and preserving of this class turns out to be the necessary and sufficient condition on diffeomorphisms to become homomorphisms or antihomomorphisms of almost complex projective geometries.

Klíčová slova anglicky

linear connection, geodetics, F -planar, A-planar, parabolic geometry, Cartan geometry, almost complex structure, projective structure.

Vydáno

2009-12-01

ISSN

0044-8753

Časopis

ARCHIVUM MATHEMATICUM

Ročník

2009

Číslo

45

Strany od–do

325–334

Počet stran

10

BIBTEX


@article{BUT46803,
  author="Jaroslav {Hrdina}",
  title="ALMOST COMPLEX PROJECTIVE STRUCTURES AND THEIR MORPHISMS",
  journal="ARCHIVUM MATHEMATICUM",
  year="2009",
  volume="2009",
  number="45",
  pages="325--334",
  issn="0044-8753"
}