On some relations between curvature and metric tensors in Riemannian spaces

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60460709%3A_____%2F00%3A00001004" target="_blank" >RIV/60460709:_____/00:00001004 - 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 some relations between curvature and metric tensors in Riemannian spaces

Original language description

A theorem of G.G. Gadzhisalioglu and A.H.Amirov shows how to calculate a metric tensor in a semigeodesic coordinate system from its initial values on a hypersurface and some components of a curvature tensor in a domain. In the present paper the above mentioned theorem is generalized, with a simplified proof based upon Picard´s existence theorem for ordinary differential equations.

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/GA201%2F99%2F0265" target="_blank" >GA201/99/0265: Computer - aided differential geometry and its applications to robotics</a><br>

Continuities

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

Publication year

2000

Confidentiality

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

Name of the periodical

Supplemento ai Rendiconti del Circolo Matematico di Palermo

ISSN

0009-725X

e-ISSN

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Volume of the periodical

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Issue of the periodical within the volume

63

Country of publishing house

XX - stateless person

Number of pages

4

Pages from-to

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UT code for WoS article

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EID of the result in the Scopus database

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