Publication detail

Remarks on F-planar curves and their generalizations

HRDINA, J.

Czech title

Poznámky o planárních křivkách a jejich zobecnění

English title

Remarks on F-planar curves and their generalizations

Type

journal article - other

Language

en

Original abstract

Generalized planar curves (A-curves) are more general analogues of F-planar curves and geodesics. In particular, several well known geometries are described by more than one affinor. The best known example is the almost quaternionic geometry. A new approach to this topic (A-structures) was started in our earlier papers. In this paper we expand the concept of A-structures to projective A-structures.

Czech abstract

Zobecněné planární křivky (A-křivky) jsou obecnější analogie F-planárních křivek a geodetik. Zejména některé známé geometrie jsou posané více než jedním afinorem. Nejznámějším příkladejm jsou skoro kvaternionové a skoro komplexní struktury. V našem článku tento koncept ještě zobecňujeme.

English abstract

Generalized planar curves (A-curves) are more general analogues of F-planar curves and geodesics. In particular, several well known geometries are described by more than one affinor. The best known example is the almost quaternionic geometry. A new approach to this topic (A-structures) was started in our earlier papers. In this paper we expand the concept of A-structures to projective A-structures.

Keywords in Czech

afinní konexe

Keywords in English

linear connection, geodetics, F-planar, A-planar, almost complex

RIV year

2011

Released

22.11.2011

Publisher

POLISH ACADEMY OF SCIENCES

Location

Polsko

ISSN

0137-6934

Volume

2011

Number

93

Pages from–to

241–249

Pages count

10

BIBTEX


@article{BUT74997,
  author="Jaroslav {Hrdina},
  title="Remarks on F-planar curves and their generalizations",
  year="2011",
  volume="2011",
  number="93",
  month="November",
  pages="241--249",
  publisher="POLISH ACADEMY OF SCIENCES",
  address="Polsko",
  issn="0137-6934"
}