Detail publikačního výsledku

Geodesic mapping onto Kählerian spaces of the first kind.

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

Originální název

Geodesic mapping onto Kählerian spaces of the first kind.

Anglický název

Geodesic mapping onto Kählerian spaces of the first kind.

Druh

Článek WoS

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

geodesic mapping; equitorsion geodesic mapping; generalized Kählerian space

Klíčová slova v angličtině

geodesic mapping; equitorsion geodesic mapping; generalized Kählerian space

Autoři

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

Rok RIV

2015

Vydáno

20.12.2014

Nakladatel

Institute of Mathematics, Academy of Sciences of the Czech Republic

Místo

Praha, Czech Republic

ISSN

0011-4642

Periodikum

CZECHOSLOVAK MATHEMATICAL JOURNAL

Svazek

64

Číslo

4

Stát

Česká republika

Strany od

1113

Strany do

1122

Strany počet

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"
}