Detail publikace

Skoro komplexní projektivní struktury a jejich morfismy.

HRDINA, J.

Český název

Skoro komplexní projektivní struktury a jejich morfismy.

Anglický název

ALMOST COMPLEX PROJECTIVE STRUCTURES AND THEIR MORPHISMS

Typ

článek v časopise - ostatní, Jost

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.

Český abstrakt

Diskutujeme skoro komlexní projektivní geometrii a její vztah k význacným trídám krivek.

Anglický 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.

Rok RIV

2009

Vydáno

01.12.2009

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",
  month="December",
  pages="325--334",
  issn="0044-8753"
}