About: Natural vector fields and 2-vector fields on the tangent bundle of a pseudo-Riemannian manifold

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About: Natural vector fields and 2-vector fields on the tangent bundle of a pseudo-Riemannian manifold Goto Sponge NotDistinct Permalink

An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Let $M$ be a differentiable manifold with a pseudo-Riemannian metric $g$ and a linear symmetric connection $K$. We classify all natural 0-order vector fields and 2-vector fields on $TM$ generated by $g$ and $K$. We get that all natural vector fields are linear combinations of the vertical lift of $u\in T_xM$ and the horizontal lift of $u$ with respect to $K$. Similarlz all natural 2-vector fields are linear combinatins of two canonical 2-vector fields induced by $g$ and $K$. Conditions for natural vector fields and natural 2-vector fields to define a Jacobi or a Poisson structure on $TM$ are disscused. Let $M$ be a differentiable manifold with a pseudo-Riemannian metric $g$ and a linear symmetric connection $K$. We classify all natural 0-order vector fields and 2-vector fields on $TM$ generated by $g$ and $K$. We get that all natural vector fields are linear combinations of the vertical lift of $u\in T_xM$ and the horizontal lift of $u$ with respect to $K$. Similarlz all natural 2-vector fields are linear combinatins of two canonical 2-vector fields induced by $g$ and $K$. Conditions for natural vector fields and natural 2-vector fields to define a Jacobi or a Poisson structure on $TM$ are disscused. (en)
Title	Natural vector fields and 2-vector fields on the tangent bundle of a pseudo-Riemannian manifold Natural vector fields and 2-vector fields on the tangent bundle of a pseudo-Riemannian manifold (en)
skos:prefLabel	Natural vector fields and 2-vector fields on the tangent bundle of a pseudo-Riemannian manifold Natural vector fields and 2-vector fields on the tangent bundle of a pseudo-Riemannian manifold (en)
skos:notation	RIV/00216224:14310/01:00004221!RIV/2002/MSM/143102/N
http://linked.open.../vavai/riv/strany	143
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA201/99/0296), Z(MSM 143100009)
http://linked.open...iv/cisloPeriodika	2
http://linked.open...vai/riv/dodaniDat	2002
http://linked.open...aciTvurceVysledku	Janyška, Josef
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Masarykova univerzita / Přírodovědecká fakulta
http://linked.open...dnocenehoVysledku	688278
http://linked.open...ai/riv/idVysledku	RIV/00216224:14310/01:00004221
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Poisson structure, pseudo-Riemannian manifold, natural operator (en)
http://linked.open.../riv/klicoveSlovo	Poisson structure natural operator pseudo-Riemannian manifold
http://linked.open...odStatuVydavatele	CZ - Česká republika
http://linked.open...ontrolniKodProRIV	[D97A4A16E94A]
http://linked.open...i/riv/nazevZdroje	Archivum Mathematicum
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...ocetUcastnikuAkce	0 (xsd:int)
http://linked.open...nichUcastnikuAkce	0 (xsd:int)
http://linked.open...vavai/riv/projekt	Differential geometry of higher order
http://linked.open...UplatneniVysledku	2001
http://linked.open...v/svazekPeriodika	37
http://linked.open...iv/tvurceVysledku	Janyška, Josef
http://linked.open...n/vavai/riv/zamer	http://linked.opendata.cz/resource/domain/vavai/zamer/MSM%20143100009
issn	0044-8753
number of pages	18 (xsd:int)
http://localhost/t...ganizacniJednotka	14310

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