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Statements

Subject Item
n2:RIV%2F61989592%3A15310%2F11%3A33116851%21RIV12-MSM-15310___
rdf:type
n11:Vysledek skos:Concept
dcterms:description
The trace decomposition problem may be considered as a finding of an expression of given tensor as a summ of a certain traceless tensor and linear combination of tensors of certain type. The solution on this problem is well known in the case of tensors on real vector spaces with metric tensor, when independent elements of the mentioned linear combinations are Kronecker delta-tensors. This case may be considered as belonging to the representation theory of the orthogonal group. This decomposition problem may be naturally generalized for F-traceless case. The solution of this case is used for the study of geodesic and holomorphically projective mappings of certain Riemannian spaces, especially. We bring the explicit decomposition formulas for tensors of the type (1,1), (1,2) and - for special condition - (1,3). Further, decompositions for the type (2,2) and (1,3) are given for tensor spaces with almost complex structure. The trace decomposition problem may be considered as a finding of an expression of given tensor as a summ of a certain traceless tensor and linear combination of tensors of certain type. The solution on this problem is well known in the case of tensors on real vector spaces with metric tensor, when independent elements of the mentioned linear combinations are Kronecker delta-tensors. This case may be considered as belonging to the representation theory of the orthogonal group. This decomposition problem may be naturally generalized for F-traceless case. The solution of this case is used for the study of geodesic and holomorphically projective mappings of certain Riemannian spaces, especially. We bring the explicit decomposition formulas for tensors of the type (1,1), (1,2) and - for special condition - (1,3). Further, decompositions for the type (2,2) and (1,3) are given for tensor spaces with almost complex structure.
dcterms:title
On F-traceless decomposition problem On F-traceless decomposition problem
skos:prefLabel
On F-traceless decomposition problem On F-traceless decomposition problem
skos:notation
RIV/61989592:15310/11:33116851!RIV12-MSM-15310___
n11:predkladatel
n17:orjk%3A15310
n3:aktivita
n16:S
n3:aktivity
S
n3:dodaniDat
n8:2012
n3:domaciTvurceVysledku
n10:4052560 n10:4619366
n3:druhVysledku
n18:D
n3:duvernostUdaju
n13:S
n3:entitaPredkladatele
n15:predkladatel
n3:idSjednocenehoVysledku
218024
n3:idVysledku
RIV/61989592:15310/11:33116851
n3:jazykVysledku
n4:eng
n3:klicovaSlova
Tensor, decomposition problem, traceless, F-tracelles, Riemannian space, Kahlerian space
n3:klicoveSlovo
n5:traceless n5:F-tracelles n5:Tensor n5:Riemannian%20space n5:Kahlerian%20space n5:decomposition%20problem
n3:kontrolniKodProRIV
[471DB4B34D4B]
n3:mistoKonaniAkce
Brno
n3:mistoVydani
Brno
n3:nazevZdroje
Proceedings of Contributions of 7th Conference on Mathematics and Physics on Technical Universities
n3:obor
n14:BA
n3:pocetDomacichTvurcuVysledku
2
n3:pocetTvurcuVysledku
2
n3:rokUplatneniVysledku
n8:2011
n3:tvurceVysledku
Jukl, Marek Juklová, Lenka
n3:typAkce
n6:EUR
n3:zahajeniAkce
2011-09-22+02:00
s:numberOfPages
9
n20:hasPublisher
Univerzita obrany
n21:isbn
978-80-7231-818-6
n12:organizacniJednotka
15310