On geodesic mappings of Einstein spaces

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F03%3A00001581" target="_blank" >RIV/61989592:15310/03:00001581 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

ruština

Original language name

On geodesic mappings of Einstein spaces

Original language description

The authors proved the following: Theorem. A four-dimensional Einstein space which is not the space of constant curvature does not admit non-trivial geodesic mappings. So with respect to geodesic mappings, one more class of spaces is uniquely distinguished by this theorem. The theorem means a strengthening of the results of A.Z. Petrov and V.I. Golikov. A.Z. Petrov has stated the following hypothesis: An Einstein space $V_n$ ($n>4$) with Minkowski signature which is not the space of constant curvature does not admit non-trivial geodesic mappings onto a Riemannian space of the same signature. The authors disproved this hypothesis by the example

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

DE - Earth magnetism, geodesy, geography

OECD FORD branch

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Project

<a href="/en/project/GA201%2F02%2F0616" target="_blank" >GA201/02/0616: Computer-assisted research in differential geometry and applications</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2003

Confidentiality

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

Name of the periodical

Izvedenije vuzov

ISSN

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e-ISSN

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Volume of the periodical

11

Issue of the periodical within the volume

N

Country of publishing house

RU - RUSSIAN FEDERATION

Number of pages

6

Pages from-to

36-41

UT code for WoS article

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EID of the result in the Scopus database

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