Geodesic mapping onto Kählerian spaces of the first kind.

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F14%3APU113031" target="_blank" >RIV/00216305:26110/14:PU113031 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1007/s10587-014-0156-z" target="_blank" >http://dx.doi.org/10.1007/s10587-014-0156-z</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s10587-014-0156-z" target="_blank" >10.1007/s10587-014-0156-z</a>

Result language

angličtina

Original language name

Geodesic mapping onto Kählerian spaces of the first kind.

Original language description

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.

Czech name

—

Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10101 - Pure mathematics

Project

—

Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2014

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Czechoslovak Mathematical Journal

ISSN

0011-4642

e-ISSN

1572-9141

Volume of the periodical

64

Issue of the periodical within the volume

4

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

10

Pages from-to

1113-1122

UT code for WoS article

000349028600017

EID of the result in the Scopus database

2-s2.0-84928942258