Publication detail

Infinitesimal F -planar transformations.

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

Czech title

Infinitesimal F -planar transformations. (Russian)

English title

Infinitesimal F -planar transformations.

Type

journal article - other

Language

ru

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. (Russian)

Czech 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. (Russian)

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

Keywords in English

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

Released

01.04.2008

Publisher

Izdat. Kazan. Gos. Univ.

Location

Kazan' Russia

ISSN

0021-3446

Journal

Izv. Vyssh. Uchebn. Zaved. Mat.

Volume

2008

Number

4

Pages from–to

16–21

Pages count

6

BIBTEX


@article{BUT47378,
  author="Irena {Hinterleitner} and Jana {Stránská} and Josef {Mikeš},
  title="Infinitesimal F -planar transformations. (Russian)",
  journal="Izv. Vyssh. Uchebn. Zaved. Mat.",
  year="2008",
  volume="2008",
  number="4",
  month="April",
  pages="16--21",
  publisher="Izdat. Kazan. Gos. Univ.",
  address="Kazan' Russia",
  issn="0021-3446"
}