On a class of curvature preserving almost geodesic mappings of manifolds with affine connection

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F11%3A33141842" target="_blank" >RIV/61989592:15310/11:33141842 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

On a class of curvature preserving almost geodesic mappings of manifolds with affine connection

Original language description

In this paper we pay attention to a particular case of almost geodesic mappings of the first type between (differentiable) manifolds with affine connection. We use here classical tensor methods and the apparatus of partial differential equations. We prove that under the mappings under consideration, the invariant geometric object is just the (Riemannian) curvature tensor of the connection. We present the basic equations of the class of mappings under consideration in an equivalent form of the Cauchy system in covariant derivatives.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2011

Confidentiality

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

Name of the periodical

Aplimat: Journal of Applied Mathematics

ISSN

1337-6365

e-ISSN

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Volume of the periodical

4

Issue of the periodical within the volume

2

Country of publishing house

SK - SLOVAKIA

Number of pages

6

Pages from-to

145-150

UT code for WoS article

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EID of the result in the Scopus database

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