Singer-Thorpe bases for special Einstein curvature tensors in dimension 4

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F15%3A50004214" target="_blank" >RIV/62690094:18470/15:50004214 - isvavai.cz</a>

Result on the web

<a href="http://link.springer.com/article/10.1007%2Fs10587-015-0230-1" target="_blank" >http://link.springer.com/article/10.1007%2Fs10587-015-0230-1</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s10587-015-0230-1" target="_blank" >10.1007/s10587-015-0230-1</a>

Result language

angličtina

Original language name

Singer-Thorpe bases for special Einstein curvature tensors in dimension 4

Original language description

Let (M, g) be a 4-dimensional Einstein Riemannian manifold. At each point p of M , the tangent space admits a so-called Singer-Thorpe basis (ST basis) with respect to the curvature tensor R at p. In this basis, up to standard symmetries and antisymmetries, just 5 components of the curvature tensor R are nonzero. For the space of constant curvature, the group O(4) acts as a transformation group between ST bases at T p M and for the so-called 2-stein curvature tensors, the group Sp(1) acts as a transformation group between ST bases. In the present work, the complete list of Lie subgroups of SO(4) which act as transformation groups between ST bases for certain classes of Einstein curvature tensors is presented. Special representations of groups SO(2), T 2, Sp(1) or U(2) are obtained and the classes of curvature tensors whose transformation group into new ST bases is one of the mentioned groups are determined.

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

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2015

Confidentiality

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

Name of the periodical

Czechoslovak mathematical journal

ISSN

0011-4642

e-ISSN

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Volume of the periodical

65

Issue of the periodical within the volume

4

Country of publishing house

DE - GERMANY

Number of pages

15

Pages from-to

1101-1115

UT code for WoS article

000367853700018

EID of the result in the Scopus database

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