On F-traceless decomposition problem

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F11%3A33116851" target="_blank" >RIV/61989592:15310/11:33116851 - 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
On F-traceless decomposition problem
Original language 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 problemmay 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 ofthe 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.
Czech name
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Czech description
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Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of Contributions of 7th Conference on Mathematics and Physics on Technical Universities
ISBN
978-80-7231-818-6
ISSN
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e-ISSN
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Number of pages
9
Pages from-to
215-223
Publisher name
Univerzita obrany
Place of publication
Brno
Event location
Brno
Event date
Sep 22, 2011
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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