About: On the canonical connection for smooth envelopes

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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
rdfs:seeAlso	http://www.degruyter.com/view/j/dema.2014.47.issue-2/dema-2014-0036/dema-2014-0036.xml
Description	A notion known as smooth envelope, or superposition closure, appears naturally in several approaches to generalized smooth manifolds, which were proposed in the last decades. Such an operation is indispensable in order to perform differential calculus. A derivation of the enveloping algebra can be restricted to the original one, but it is a delicate question if the the vice-versa can be done as well. In a physical language, this would correspond to the existence of a canonical connection. In this paper, we show an example of an algebra which always possesses such a connection. A notion known as smooth envelope, or superposition closure, appears naturally in several approaches to generalized smooth manifolds, which were proposed in the last decades. Such an operation is indispensable in order to perform differential calculus. A derivation of the enveloping algebra can be restricted to the original one, but it is a delicate question if the the vice-versa can be done as well. In a physical language, this would correspond to the existence of a canonical connection. In this paper, we show an example of an algebra which always possesses such a connection. (en)
Title	On the canonical connection for smooth envelopes On the canonical connection for smooth envelopes (en)
skos:prefLabel	On the canonical connection for smooth envelopes On the canonical connection for smooth envelopes (en)
skos:notation	RIV/47813059:19610/14:#0000470!RIV15-GA0-19610___
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(GBP201/12/G028)
http://linked.open...iv/cisloPeriodika	2
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Moreno, Giovanni
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	34401
http://linked.open...ai/riv/idVysledku	RIV/47813059:19610/14:#0000470
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	canonical connection; smooth envelopes (en)
http://linked.open.../riv/klicoveSlovo	canonical connection smooth envelopes
http://linked.open...odStatuVydavatele	PL - Polská republika
http://linked.open...ontrolniKodProRIV	[E98D7FE9803B]
http://linked.open...i/riv/nazevZdroje	Demonstratio Mathematica
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...vavai/riv/projekt	Eduard Čech Institute for algebra, geometry and mathematical physics
http://linked.open...UplatneniVysledku	2014
http://linked.open...v/svazekPeriodika	47
http://linked.open...iv/tvurceVysledku	Moreno, Giovanni
issn	0420-1213
number of pages	5 (xsd:int)
http://bibframe.org/vocab/doi	10.2478/dema-2014-0036
http://localhost/t...ganizacniJednotka	19610

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