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Statements

Subject Item
n2:RIV%2F61989592%3A15310%2F13%3A33145716%21RIV14-GA0-15310___
rdf:type
n14:Vysledek skos:Concept
dcterms:description
We present definitions and properties of conformal Killing forms on a Riemannian manifold and determine Tachibana numbers as analogs of the well known Betti numbers of a compact Riemannian manifold. We show some sets of conditions which characterize these numbers. Finally, we prove some results which establish relationships between Betti and Tachibana numbers. We present definitions and properties of conformal Killing forms on a Riemannian manifold and determine Tachibana numbers as analogs of the well known Betti numbers of a compact Riemannian manifold. We show some sets of conditions which characterize these numbers. Finally, we prove some results which establish relationships between Betti and Tachibana numbers.
dcterms:title
Betti and Tachibana numbers of compact Riemannian manifolds Betti and Tachibana numbers of compact Riemannian manifolds
skos:prefLabel
Betti and Tachibana numbers of compact Riemannian manifolds Betti and Tachibana numbers of compact Riemannian manifolds
skos:notation
RIV/61989592:15310/13:33145716!RIV14-GA0-15310___
n14:predkladatel
n15:orjk%3A15310
n3:aktivita
n13:P
n3:aktivity
P(GAP201/11/0356)
n3:cisloPeriodika
4
n3:dodaniDat
n4:2014
n3:domaciTvurceVysledku
n20:4813618
n3:druhVysledku
n12:J
n3:duvernostUdaju
n10:S
n3:entitaPredkladatele
n16:predkladatel
n3:idSjednocenehoVysledku
63142
n3:idVysledku
RIV/61989592:15310/13:33145716
n3:jazykVysledku
n18:eng
n3:klicovaSlova
Tachibana numbers; Betti number; operators on differential forms; elliptic second order linear differential; differential forms; Riemannian manifold
n3:klicoveSlovo
n5:differential%20forms n5:Riemannian%20manifold n5:operators%20on%20differential%20forms n5:Tachibana%20numbers n5:elliptic%20second%20order%20linear%20differential n5:Betti%20number
n3:kodStatuVydavatele
NL - Nizozemsko
n3:kontrolniKodProRIV
[931CB0D8AE63]
n3:nazevZdroje
Differential Geometry and Its Applications
n3:obor
n11:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
2
n3:projekt
n17:GAP201%2F11%2F0356
n3:rokUplatneniVysledku
n4:2013
n3:svazekPeriodika
31
n3:tvurceVysledku
Mikeš, Josef Stepanov, Sergej
n3:wos
000321537400004
s:issn
0926-2245
s:numberOfPages
10
n19:doi
10.1016/j.difgeo.2013.04.004
n6:organizacniJednotka
15310