Detail publikačního výsledku

ALMOST COMPLEX PROJECTIVE STRUCTURES AND THEIR MORPHISMS

HRDINA, J.

Originální název

ALMOST COMPLEX PROJECTIVE STRUCTURES AND THEIR MORPHISMS

Anglický název

ALMOST COMPLEX PROJECTIVE STRUCTURES AND THEIR MORPHISMS

Druh

Článek recenzovaný mimo WoS a Scopus

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.

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

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

Klíčová slova v angličtině

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

Autoři

HRDINA, J.

Rok RIV

2010

Vydáno

01.12.2009

ISSN

0044-8753

Periodikum

Archivum mathematicum

Svazek

2009

Číslo

45

Stát

Česká republika

Strany od

325

Strany do

334

Strany počet

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"
}