Metrization problem for linear connections and holonomy algebras

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F08%3A00010339" target="_blank" >RIV/61989592:15310/08:00010339 - 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

Metrization problem for linear connections and holonomy algebras

Original language description

We show a method how to decide about metrizability of a manifold endowed with a symmetric connection and how to find all metrics compatible with the given connection in the affirmative case. We compare classical results of Eisenhart based on systems of differential equations with a more algebraic method based on holonomy algebra which works for positive metrics in real analytic case.

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

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Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2008

Confidentiality

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

Name of the periodical

Archivum Mathematicum

ISSN

0044-8753

e-ISSN

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Volume of the periodical

44

Issue of the periodical within the volume

4

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

11

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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