Detail publikace

Infinitesimal F -planar transformations. (Russian)

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

Originální název

Infinitesimal F -planar transformations. (Russian)

Anglický název

Infinitezimální F-planární transformace

Typ

článek v časopise - ostatní, Jost

Jazyk

ruština

Originální abstrakt

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)

Anglický abstrakt

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.

Klíčová slova

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

Klíčová slova v angličtině

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

Autoři

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

Vydáno

1. 4. 2008

Nakladatel

Izdat. Kazan. Gos. Univ.

Místo

Kazan' Russia

ISSN

0021-3446

Periodikum

Izv. Vyssh. Uchebn. Zaved. Mat.

Ročník

2008

Číslo

4

Stát

Ruská federace

Strany od

16

Strany do

21

Strany počet

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"
}