Publication detail

Geodesic mapping onto Kählerian spaces of the first kind.

HINTERLEITNER, I. ZLATANOVIC, M. CIRIC-NAJDANOVIC, M.

Original Title

Geodesic mapping onto Kählerian spaces of the first kind.

Type

journal article in Web of Science

Language

English

Original Abstract

In the present paper a generalized Kählerian space of the first kind is considered as a generalized Riemannian space with almost complex structure that is covariantly constant with respect to the first kind of covariant derivative. Using a non-symmetric metric tensor we find necessary and sufficient conditions for geodesic mappings with respect to the four kinds of covariant derivatives. These conditions have the form of a closed system of partial differential equations in covariant derivatives with respect to unknown components of the metric tensor and the complex structure of the Kählerian space.

Keywords

geodesic mapping; equitorsion geodesic mapping; generalized Kählerian space

Authors

HINTERLEITNER, I.; ZLATANOVIC, M.; CIRIC-NAJDANOVIC, M.

RIV year

2014

Released

20. 12. 2014

Publisher

Institute of Mathematics, Academy of Sciences of the Czech Republic

Location

Praha, Czech Republic

ISBN

0011-4642

Periodical

Czechoslovak Mathematical Journal

Year of study

64

Number

4

State

Czech Republic

Pages from

1113

Pages to

1122

Pages count

10

BibTex

@article{BUT112912,
  author="Irena {Hinterleitner} and Milan {Zlatanovic} and Maria {Ciric-Najdanovic}",
  title="Geodesic mapping onto Kählerian spaces of the first kind.",
  journal="Czechoslovak Mathematical Journal",
  year="2014",
  volume="64",
  number="4",
  pages="1113--1122",
  doi="10.1007/s10587-014-0156-z",
  issn="0011-4642"
}