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  • 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. (en)
Title
  • Some Modifications of the Theorem of Beltrami
  • Some Modifications of the Theorem of Beltrami (en)
skos:prefLabel
  • Some Modifications of the Theorem of Beltrami
  • Some Modifications of the Theorem of Beltrami (en)
skos:notation
  • RIV/00216224:14310/11:00074564!RIV15-MSM-14310___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(LC505)
http://linked.open...iv/cisloPeriodika
  • 2
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
  • Verpoort, Steven J.
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
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http://linked.open...dnocenehoVysledku
  • 230621
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14310/11:00074564
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Theorem of Beltrami (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV
  • [7B2DFB27FCA3]
http://linked.open...i/riv/nazevZdroje
  • Annali di Matematica Pura ed Applicata
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 190
http://linked.open...iv/tvurceVysledku
  • Verpoort, Steven J.
http://linked.open...ain/vavai/riv/wos
  • 000289365500006
issn
  • 0373-3114
number of pages
http://bibframe.org/vocab/doi
  • 10.1007/s10231-010-0150-5
http://localhost/t...ganizacniJednotka
  • 14310
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