About: Higher-order differential represented by connections on prolongations of a fibered manifold

Facets (new session)
Description
Metadata
Settings
- owl:sameAs
- Inference Rule:

About: Higher-order differential represented by connections on prolongations of a fibered 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)

Attributes	Values
rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	This long survey paper represents an introduction to a recently developed formalism which is aimed primarily at a systematic description of certain phenomena related to the geometry of systems of differential equations in normal form. These equations are represented by connections on prolongations of a fibered manifold. We recalls some notions and results about jet prolongations of sections, morphisms and vector fields, total derivatives, the contact structure and the Cartan distribution on $J\sp k\pi$, repeated jets and higher-order connections on $\pi$. Then the integrability, the prolongations, reductions and symmetries of higher-order differential equations are studied. Some integration methods of fields of paths are discussed. In fact,since the higher-order connections may be composed with suitable morphisms, they may be viewed as the integral sections of some other connections. Finally, semispray connections are studied. This long survey paper represents an introduction to a recently developed formalism which is aimed primarily at a systematic description of certain phenomena related to the geometry of systems of differential equations in normal form. These equations are represented by connections on prolongations of a fibered manifold. We recalls some notions and results about jet prolongations of sections, morphisms and vector fields, total derivatives, the contact structure and the Cartan distribution on $J\sp k\pi$, repeated jets and higher-order connections on $\pi$. Then the integrability, the prolongations, reductions and symmetries of higher-order differential equations are studied. Some integration methods of fields of paths are discussed. In fact,since the higher-order connections may be composed with suitable morphisms, they may be viewed as the integral sections of some other connections. Finally, semispray connections are studied. (en)
Title	Higher-order differential represented by connections on prolongations of a fibered manifold Higher-order differential represented by connections on prolongations of a fibered manifold (en)
skos:prefLabel	Higher-order differential represented by connections on prolongations of a fibered manifold Higher-order differential represented by connections on prolongations of a fibered manifold (en)
skos:notation	RIV/47813059:19610/00:00000034!RIV/2002/GA0/196102/N
http://linked.open.../vavai/riv/strany	%22421;512%22
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA201/97/0001), Z(MSM 192400002)
http://linked.open...iv/cisloPeriodika	3
http://linked.open...vai/riv/dodaniDat	2002
http://linked.open...aciTvurceVysledku	Vondra, Alexander
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	Slezská univerzita v Opavě / Matematický ústav v Opavě
http://linked.open...dnocenehoVysledku	712418
http://linked.open...ai/riv/idVysledku	RIV/47813059:19610/00:00000034
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	%22ordinary differential equations, semispray, semispray connection, dynamical connection; admissible deformation; k-th order tangent bundle;characterizable connection; fields of paths; reduced connection; PDE; Pfaffian systems; symmetries%22 (en)
http://linked.open.../riv/klicoveSlovo	PDE %22ordinary differential equations Pfaffian systems admissible deformation characterizable connection fields of paths k-th order tangent bundle reduced connection semispray semispray connection symmetries%22 dynamical connection
http://linked.open...odStatuVydavatele	ES - Španělské království
http://linked.open...ontrolniKodProRIV	[57C047221036]
http://linked.open...i/riv/nazevZdroje	Extracta Mathematicae
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	Dynamical systems
http://linked.open...UplatneniVysledku	2000
http://linked.open...v/svazekPeriodika	15
http://linked.open...iv/tvurceVysledku	Vondra, Alexander
http://linked.open...n/vavai/riv/zamer	http://linked.opendata.cz/resource/domain/vavai/zamer/MSM%20192400002
issn	0213-8743
number of pages	92 (xsd:int)
http://localhost/t...ganizacniJednotka	19610

Faceted Search & Find service v1.16.118 as of Jun 21 2024

Alternative Linked Data Documents: ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 07.20.3240 as of Jun 21 2024, on Linux (x86_64-pc-linux-gnu), Single-Server Edition (126 GB total memory, 48 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software