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Statements

Subject Item
n2:RIV%2F61988987%3A17310%2F12%3AA1401A0L%21RIV14-GA0-17310___
rdf:type
n12:Vysledek skos:Concept
dcterms:description
The metrizability problem for a symmetric affine connection on a manifold, invariant with respect to a group of diffeomorphisms G, is considered. We say that the connection is G-metrizable, if it is expressible as the Levi-Civita connection of a G-invariant metric field. In this paper we analyze the G-metrizability equations for the rotation group G = SO(3), acting canonically on three- and four dimensional Euclidean spaces. We show that the property of the connection to be SO(3)-invariant allows us to find complete explicit description of all solutions of the SO(3)-metrizability equations. The metrizability problem for a symmetric affine connection on a manifold, invariant with respect to a group of diffeomorphisms G, is considered. We say that the connection is G-metrizable, if it is expressible as the Levi-Civita connection of a G-invariant metric field. In this paper we analyze the G-metrizability equations for the rotation group G = SO(3), acting canonically on three- and four dimensional Euclidean spaces. We show that the property of the connection to be SO(3)-invariant allows us to find complete explicit description of all solutions of the SO(3)-metrizability equations.
dcterms:title
On metrizability of invariant affine connections On metrizability of invariant affine connections
skos:prefLabel
On metrizability of invariant affine connections On metrizability of invariant affine connections
skos:notation
RIV/61988987:17310/12:A1401A0L!RIV14-GA0-17310___
n12:predkladatel
n15:orjk%3A17310
n3:aktivita
n16:S n16:P
n3:aktivity
P(GA201/09/0981), S
n3:cisloPeriodika
1
n3:dodaniDat
n5:2014
n3:domaciTvurceVysledku
n13:6915647
n3:druhVysledku
n17:J
n3:duvernostUdaju
n19:S
n3:entitaPredkladatele
n8:predkladatel
n3:idSjednocenehoVysledku
156274
n3:idVysledku
RIV/61988987:17310/12:A1401A0L
n3:jazykVysledku
n14:eng
n3:klicovaSlova
Affine connection; metrizability; G-invariant
n3:klicoveSlovo
n7:metrizability n7:G-invariant n7:Affine%20connection
n3:kodStatuVydavatele
SG - Singapurská republika
n3:kontrolniKodProRIV
[370ECAF0DECC]
n3:nazevZdroje
INT J GEOM METHODS M
n3:obor
n9:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
2
n3:projekt
n4:GA201%2F09%2F0981
n3:rokUplatneniVysledku
n5:2012
n3:svazekPeriodika
9
n3:tvurceVysledku
Tanaka, E. Krupka, Demeter
s:issn
0219-8878
s:numberOfPages
15
n18:organizacniJednotka
17310