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Statements

Subject Item
n2:RIV%2F00216224%3A14310%2F11%3A00074564%21RIV15-MSM-14310___
rdf:type
skos:Concept n18:Vysledek
dcterms:description
The two main topics of this text are as follows: Firstly, three modifications of the theorem of Beltrami will be presented for diffeomorphisms between Riemannian manifolds and a space form which preserve the geodesic circles, the geodesic hyperspheres, or the minimal surfaces, respectively. Secondly, it is defined what it means for an infinitesimal deformation of a metric to preserve the geodesics up to first order, and a corresponding infinitesimal version of Beltrami's theorem is given. The two main topics of this text are as follows: Firstly, three modifications of the theorem of Beltrami will be presented for diffeomorphisms between Riemannian manifolds and a space form which preserve the geodesic circles, the geodesic hyperspheres, or the minimal surfaces, respectively. Secondly, it is defined what it means for an infinitesimal deformation of a metric to preserve the geodesics up to first order, and a corresponding infinitesimal version of Beltrami's theorem is given.
dcterms:title
Some Modifications of the Theorem of Beltrami Some Modifications of the Theorem of Beltrami
skos:prefLabel
Some Modifications of the Theorem of Beltrami Some Modifications of the Theorem of Beltrami
skos:notation
RIV/00216224:14310/11:00074564!RIV15-MSM-14310___
n3:aktivita
n10:P
n3:aktivity
P(LC505)
n3:cisloPeriodika
2
n3:dodaniDat
n8:2015
n3:domaciTvurceVysledku
Verpoort, Steven J.
n3:druhVysledku
n5:J
n3:duvernostUdaju
n17:S
n3:entitaPredkladatele
n4:predkladatel
n3:idSjednocenehoVysledku
230621
n3:idVysledku
RIV/00216224:14310/11:00074564
n3:jazykVysledku
n14:eng
n3:klicovaSlova
Theorem of Beltrami
n3:klicoveSlovo
n12:Theorem%20of%20Beltrami
n3:kodStatuVydavatele
DE - Spolková republika Německo
n3:kontrolniKodProRIV
[7B2DFB27FCA3]
n3:nazevZdroje
Annali di Matematica Pura ed Applicata
n3:obor
n6:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
1
n3:projekt
n16:LC505
n3:rokUplatneniVysledku
n8:2011
n3:svazekPeriodika
190
n3:tvurceVysledku
Verpoort, Steven J.
n3:wos
000289365500006
s:issn
0373-3114
s:numberOfPages
18
n7:doi
10.1007/s10231-010-0150-5
n11:organizacniJednotka
14310