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Statements

Subject Item
n2:RIV%2F00216305%3A26210%2F14%3APU107358%21RIV15-MSM-26210___
rdf:type
skos:Concept n17:Vysledek
dcterms:description
An almost Clifford and an almost Cliffordian manifold is a G--structure based on the definition of Clifford algebras. An almost Clifford manifold based on O:= Cl (s,t) is given by a reduction of the structure group GL(km, R) to GL(m, O), where k=2s+t and m \in N. An almost Cliffordian manifold is given by a reduction of the structure group to GL(m, O) GL(1, O). We prove that an almost Clifford manifold based on O is such that there exists a unique subordinated connection, while the case of an almost Cliffordian manifold based on O is more rich. A class of distinguished connections in this case is described explicitly. An almost Clifford and an almost Cliffordian manifold is a G--structure based on the definition of Clifford algebras. An almost Clifford manifold based on O:= Cl (s,t) is given by a reduction of the structure group GL(km, R) to GL(m, O), where k=2s+t and m \in N. An almost Cliffordian manifold is given by a reduction of the structure group to GL(m, O) GL(1, O). We prove that an almost Clifford manifold based on O is such that there exists a unique subordinated connection, while the case of an almost Cliffordian manifold based on O is more rich. A class of distinguished connections in this case is described explicitly.
dcterms:title
Geometry of almost Cliffordian manifolds: classes of subordinated connections Geometry of almost Cliffordian manifolds: classes of subordinated connections
skos:prefLabel
Geometry of almost Cliffordian manifolds: classes of subordinated connections Geometry of almost Cliffordian manifolds: classes of subordinated connections
skos:notation
RIV/00216305:26210/14:PU107358!RIV15-MSM-26210___
n3:aktivita
n13:S
n3:aktivity
S
n3:cisloPeriodika
1
n3:dodaniDat
n10:2015
n3:domaciTvurceVysledku
n9:3722082
n3:druhVysledku
n15:J
n3:duvernostUdaju
n16:S
n3:entitaPredkladatele
n12:predkladatel
n3:idSjednocenehoVysledku
18280
n3:idVysledku
RIV/00216305:26210/14:PU107358
n3:jazykVysledku
n8:eng
n3:klicovaSlova
Clifford algebra, affinor structure, G--structure, linear connection, planar curves
n3:klicoveSlovo
n7:G--structure n7:planar%20curves n7:affinor%20structure n7:Clifford%20algebra n7:linear%20connection
n3:kodStatuVydavatele
TR - Turecká republika
n3:kontrolniKodProRIV
[511802A2B4A9]
n3:nazevZdroje
TURKISH JOURNAL OF MATHEMATICS
n3:obor
n5:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
2
n3:rokUplatneniVysledku
n10:2014
n3:svazekPeriodika
38
n3:tvurceVysledku
Vašík, Petr Hrdina, Jaroslav
s:issn
1300-0098
s:numberOfPages
12
n14:organizacniJednotka
26210