Publication detail

Infinitesimal F -planar transformations. (Russian)

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

Original Title

Infinitesimal F -planar transformations. (Russian)

English Title

Infinitesimal F -planar transformations.

Type

journal article - other

Language

Russian

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)

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

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

Key words in English

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

Authors

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

Released

1. 4. 2008

Publisher

Izdat. Kazan. Gos. Univ.

Location

Kazan' Russia

ISBN

0021-3446

Periodical

Izv. Vyssh. Uchebn. Zaved. Mat.

Year of study

2008

Number

4

State

Russian Federation

Pages from

16

Pages to

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",
  pages="16--21",
  doi="10.3103/S1066369X08040026",
  issn="0021-3446"
}