Note on the Holonomy Groups of Pseudo-Riemannian Manifolds

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F13%3A00068547" target="_blank" >RIV/00216224:14310/13:00068547 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1134/S0001434613050209" target="_blank" >http://dx.doi.org/10.1134/S0001434613050209</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1134/S0001434613050209" target="_blank" >10.1134/S0001434613050209</a>

Result language

angličtina

Original language name

Note on the Holonomy Groups of Pseudo-Riemannian Manifolds

Original language description

For an arbitrary subalgebra h subset so(r, s) a polynomial pseudo-Riemannian metric of signature (r + 2, s + 2) is constructed, the holonomy algebra of this metric contains h as a subalgebra. This result shows the essential distinction between the holonomy algebras of pseudoRiemannian manifolds of index greater than or equal to 2 and the holonomy algebras of Riemannian and Lorentzian manifolds.

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/EE2.3.20.0003" target="_blank" >EE2.3.20.0003: Algebraic methods in Geometry with views towards Applications</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Publication year

2013

Confidentiality

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

Name of the periodical

Mathematical Notes

ISSN

0001-4346

e-ISSN

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Volume of the periodical

93

Issue of the periodical within the volume

5-6

Country of publishing house

DE - GERMANY

Number of pages

6

Pages from-to

810-815

UT code for WoS article

000321274300020

EID of the result in the Scopus database

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