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Statements

Subject Item
n2:RIV%2F00216224%3A14310%2F09%3A00035578%21RIV10-MSM-14310___
rdf:type
skos:Concept n13:Vysledek
dcterms:description
Holonomy groups and holonomy algebras for connections on locally free sheaves over supermanifolds are introduced. A one-to-one correspondence between parallel sections and holonomy-invariant vectors, and a one-to-one correspondence between parallel locally direct subsheaves and holonomy-invariant vector supersubspaces are obtained. As the special case, the holonomy of linear connections on supermanifolds is studied. Examples of parallel geometric structures on supermanifolds and the corresponding holonomies are given. For Riemannian supermanifolds an analog of the Wu theorem is proved. Berger superalgebras are defined and their examples are given. Holonomy groups and holonomy algebras for connections on locally free sheaves over supermanifolds are introduced. A one-to-one correspondence between parallel sections and holonomy-invariant vectors, and a one-to-one correspondence between parallel locally direct subsheaves and holonomy-invariant vector supersubspaces are obtained. As the special case, the holonomy of linear connections on supermanifolds is studied. Examples of parallel geometric structures on supermanifolds and the corresponding holonomies are given. For Riemannian supermanifolds an analog of the Wu theorem is proved. Berger superalgebras are defined and their examples are given.
dcterms:title
Holonomy of supermanifolds Holonomy of supermanifolds
skos:prefLabel
Holonomy of supermanifolds Holonomy of supermanifolds
skos:notation
RIV/00216224:14310/09:00035578!RIV10-MSM-14310___
n3:aktivita
n16:P
n3:aktivity
P(LC505)
n3:cisloPeriodika
1
n3:dodaniDat
n9:2010
n3:domaciTvurceVysledku
Galaev, Anton
n3:druhVysledku
n4:J
n3:duvernostUdaju
n6:S
n3:entitaPredkladatele
n17:predkladatel
n3:idSjednocenehoVysledku
317701
n3:idVysledku
RIV/00216224:14310/09:00035578
n3:jazykVysledku
n14:eng
n3:klicovaSlova
Supermanifold; Superconnection; Holonomy algebra; Berger superalgebra
n3:klicoveSlovo
n8:Holonomy%20algebra n8:Superconnection n8:Supermanifold n8:Berger%20superalgebra
n3:kodStatuVydavatele
DE - Spolková republika Německo
n3:kontrolniKodProRIV
[0AE565C46515]
n3:nazevZdroje
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
n3:obor
n12:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
1
n3:projekt
n10:LC505
n3:rokUplatneniVysledku
n9:2009
n3:svazekPeriodika
79/2009
n3:tvurceVysledku
Galaev, Anton
n3:wos
000266035600005
s:issn
0025-5858
s:numberOfPages
32
n7:organizacniJednotka
14310