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Description
  • V tomto článku dokazujeme, že každá g-přirozená metrika na tečném bandlu TM Riemannovy variety (M,g) je invariantní vzhledem k zobrazení indukovanému (lokální) izometrií základní variety. Potom aplikujeme tento výsledek na přirozené metriky indukované na jednotkových sférických tečných bandlech. (cs)
  • In this paper we prove that each g-natural metric on a tangent bundle TM over a Riemannian manifold (M, g) is invariant with respect to the induced map of a (local) isometry of the base manifold. Then we apply this result to natural metrics on unit tangent sphere bundles.
  • In this paper we prove that each g-natural metric on a tangent bundle TM over a Riemannian manifold (M, g) is invariant with respect to the induced map of a (local) isometry of the base manifold. Then we apply this result to natural metrics on unit tangent sphere bundles. (en)
Title
  • Invariance of g-natural metrics on tangent bundles
  • Invariance of g-natural metrics on tangent bundles (en)
  • Invariantnost g-přirozených metrik na tečných bandlech (cs)
skos:prefLabel
  • Invariance of g-natural metrics on tangent bundles
  • Invariance of g-natural metrics on tangent bundles (en)
  • Invariantnost g-přirozených metrik na tečných bandlech (cs)
skos:notation
  • RIV/00216208:11320/08:00100035!RIV09-MSM-11320___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/05/2707), Z(MSM0021620839)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 373136
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/08:00100035
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Invariance; g-natural; metrics; tangent; bundles (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [52ADA36A7099]
http://linked.open...v/mistoKonaniAkce
  • Singapur
http://linked.open...i/riv/mistoVydani
  • Singapur
http://linked.open...i/riv/nazevZdroje
  • Proceedings of the 10th International Conference DGA 2007
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...iv/tvurceVysledku
  • Kowalski, Oldřich
  • Sekizawa, Masami
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
number of pages
http://purl.org/ne...btex#hasPublisher
  • World Scientific Publ. Company
https://schema.org/isbn
  • 981-279-060-8
http://localhost/t...ganizacniJednotka
  • 11320
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