Publication result detail

Infinitesimal F-planar transformations

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

Original Title

Infinitesimal F-planar transformations

English Title

Infinitesimal F-planar transformations

Type

Peer-reviewed article not indexed in WoS or Scopus

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.

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

Key words in English

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

Authors

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

Released

01.04.2008

Publisher

Springer, New York.

Location

New York

ISBN

1066-369X

Periodical

Russian Mathematics

Volume

2008 (52)

Number

4

State

Russian Federation

Pages from

13

Pages to

18

Pages count

6

URL

http://link.springer.com/article/10.3103/S1066369X08040026

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",
  pages="13--18",
  doi="10.3103/S1066369X08040026",
  issn="1066-369X",
  url="http://link.springer.com/article/10.3103/S1066369X08040026"
}