JANYŠKA, Josef. On Lie algebras of generators of infinitesimal symmetries of almost-cosymplectic-contact structures. Archivum Mathematicum. Brno: MU Brno, 2016, vol. 52, No 5, p. 325-339. ISSN 1212-5059.
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Basic information
Original name On Lie algebras of generators of infinitesimal symmetries of almost-cosymplectic-contact structures
Name in Czech O Lieových algebrách generátorů infinitesimálních symetrií skoro-Kkosymplektických-kontaktních struktur
Authors JANYŠKA, Josef (203 Czech Republic, guarantor, belonging to the institution).
Edition Archivum Mathematicum, Brno, MU Brno, 2016, 1212-5059.
Other information
Original language English
Type of outcome Article in a journal
Field of Study General mathematics
Country of publisher Czech Republic
Confidentiality degree is not subject to a state or trade secret
WWW URL
RIV identification code RIV/00216224:14310/16:00088525
Organization Přírodovědecká fakulta – Repository – Repository
UT WoS 000411954900006
Keywords (in Czech) infinitesimální symetrie; skoro-kosymplektická-kontaktní struktura; Lieova algebra
Keywords in English infinitesima symmetry; almost-cosymplectic-contact structure; Lie algebra
Links GA14-02476S, research and development project.
Changed by Changed by: RNDr. Daniel Jakubík, učo 139797. Changed: 3/9/2020 16:34.
Abstract
We study Lie algebras of generators of infinitesimal symmetries of almost-cosymplectic-contact structures of odd dimensional manifolds. The almost-cosymplectic-contact structure admits on the sheaf of pairs of 1-forms and functions the structure of a Lie algebra. We describe Lie subalgebras in this Lie algebra given by pairs generating infinitesimal symmetries of basic tensor fields given by the almost-cosymplectic-contact structure.
Abstract (in Czech)
Jsou studovány Lie algebry generátorů infinitesimálních symetrií skoro-kosymplectických-kontaktních structur licho-dimenzionálnách variet. Skoro-kosymplectická-kontaktní structura určuje na množině dvojic tvořených 1-formami a funkcemi strukturu Lieovy algebry. Jsou popsány Lieovy podalgebry v této Lieově algebře určené dvojicemi, které generují infinitesimální symetrie základních tenzorových polí daných skoro-kosymplectickou-kontaktní structurou.
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