Geodesic mappings of (pseudo-) Riemannian manifolds preserve class of differentiability

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F13%3A33145768" target="_blank" >RIV/61989592:15310/13:33145768 - 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

Geodesic mappings of (pseudo-) Riemannian manifolds preserve class of differentiability

Original language description

In this paper, we prove that geodesic mappings of (pseudo-) Riemannian manifolds preserve the class of differentiability. Also, if the Einstein space admits a nontrivial geodesic mapping onto a (pseudo-) Riemannian manifold, then its is an Einstein space. If a four-dimensional Einstein space with non-constant curvature globally admits a geodesic mapping onto a (pseudo-) Riemannian manifold, then the mapping is affine and, moreover, if the scalar curvature is non-vanishing, then the mapping is homothetic.

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

<a href="/en/project/GAP201%2F11%2F0356" target="_blank" >GAP201/11/0356: Riemannian, pseudo-Riemannian and affine differential geometry</a><br>

Continuities

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

Publication year

2013

Confidentiality

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

Name of the periodical

Miskolc Mathematical Notes (print)

ISSN

1787-2405

e-ISSN

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Volume of the periodical

14

Issue of the periodical within the volume

2

Country of publishing house

HU - HUNGARY

Number of pages

8

Pages from-to

"575?582"

UT code for WoS article

000329498700019

EID of the result in the Scopus database

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