Publication detail

Infinitesimal F-planar transformations

HINTERLEITNER, I. MIKEŠ, J. STRÁNSKÁ, J.

Czech title

Infinitezimální F-planární transformace

English title

Infinitesimal F-planar transformations

Type

journal article - other

Language

en

Original abstract

The theory of F-planar mappings of Riemannian spaces and spaces with affine connection developed by J. Mikeš and N. S. Sinyukov naturally extends the theory of geodesic and holomorphic projective mappings. In the present paper we find basic equations of infinitesimal F-planar mappings and study these equations. The F-planar mappings are maps between spaces endowed with affinor structures. The geometry of Riemannian spaces and spaces with affine connection endowed by affinor structures was investigated by A.P. Shirokov who also studied mappings between spaces of this.

Czech abstract

Teorie F-planárních zobrazení Riemannových prostorů a prostorů s afinní konexí začali studovat. J. Mikeš a N.S. Sinyukov, je přirozeným zobecněním teorie geodetických a holomorfně projektivních zobrazení. V článku jsou nalezeny rovnice infinitesimálních F-planárních transformací a tyto rovnice se dále studují. F-planární zobrazeni zachovávají afinorní struktury. Geometrii Riemannových variet a variet s afinní konexí s afionorními strukturami studoval A.P. Širokov, který také studoval podobná zobrazení.

English abstract

The theory of F-planar mappings of Riemannian spaces and spaces with affine connection developed by J. Mikeš and N. S. Sinyukov naturally extends the theory of geodesic and holomorphic projective mappings. In the present paper we find basic equations of infinitesimal F-planar mappings and study these equations. The F-planar mappings are maps between spaces endowed with affinor structures. The geometry of Riemannian spaces and spaces with affine connection endowed by affinor structures was investigated by A.P. Shirokov who also studied mappings between spaces of this.

Keywords in Czech

F-planární zobrazení, prostor s afinní konexí, projektivní transformace, infinitezimální F-planární transformace

Keywords in English

F-planar mapping, space with affine connection, projective transformation, infinitesimal F-planar transformation

Released

01.04.2008

Publisher

Springer, New York.

Location

New York

ISSN

1066-369X

Journal

Russian Mathematics

Volume

2008 (52)

Number

4

Pages from–to

13–18

Pages count

6

BIBTEX


@article{BUT47377,
  author="Irena {Hinterleitner} and Josef {Mikeš} and Jana {Stránská},
  title="Infinitesimal F-planar transformations",
  journal="Russian Mathematics",
  year="2008",
  volume="2008 (52)",
  number="4",
  month="April",
  pages="13--18",
  publisher="Springer, New York.",
  address="New York",
  issn="1066-369X"
}