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Description
  • We construct and investigate smooth orientable surfaces in su(N) algebras. The structural equations of surfaces associated with Grassmannian sigma models on Minkowski space are studied using moving frames adapted to the surfaces. The first and second fundamental forms of these surfaces as well as the relations between them as expressed in the Gauss-Weingarten and Gauss-Codazzi-Ricci equations are found. The scalar curvature and the mean curvature vector expressed in terms of a solution of Grassmanian sigma model are obtained.
  • We construct and investigate smooth orientable surfaces in su(N) algebras. The structural equations of surfaces associated with Grassmannian sigma models on Minkowski space are studied using moving frames adapted to the surfaces. The first and second fundamental forms of these surfaces as well as the relations between them as expressed in the Gauss-Weingarten and Gauss-Codazzi-Ricci equations are found. The scalar curvature and the mean curvature vector expressed in terms of a solution of Grassmanian sigma model are obtained. (en)
  • Konstruujeme a vyšetřujeme hladké orientovatelné povrchy v su(N) algebrách. Studují se strukturální rovnice povrchů asociovaných s Grasmannovskými sigma modely na Minkowského prostoru pomocí vierbeinů adaptovaných na povrchy. Jsou nalezeny první a druhá fundamentální forma těchto povrchů a též vztahy mezi nimi vyjádřené v rovnicích Gauss-Weingartenových a Gauss-Codazzi-Ricciových. Skalární křivost a vektor střední křivosti jsou vyjádřené pomocí řešení Grasmannovských sigma modelů. (cs)
Title
  • Description of Surfaces Associated with Grassmannian Sigma Models on Minkowski Space
  • Description of Surfaces Associated with Grassmannian Sigma Models on Minkowski Space (en)
  • Popis povrchů asociovaných s Grasmannovskými sigma modely na Minkowského prostoru (cs)
skos:prefLabel
  • Description of Surfaces Associated with Grassmannian Sigma Models on Minkowski Space
  • Description of Surfaces Associated with Grassmannian Sigma Models on Minkowski Space (en)
  • Popis povrchů asociovaných s Grasmannovskými sigma modely na Minkowského prostoru (cs)
skos:notation
  • RIV/68407700:21340/05:04109224!RIV09-MSM-21340___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM 210000018)
http://linked.open...iv/cisloPeriodika
  • 0
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
  • 517346
http://linked.open...ai/riv/idVysledku
  • RIV/68407700:21340/05:04109224
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Lie algebras; surfaces (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [140B8A84C9FF]
http://linked.open...i/riv/nazevZdroje
  • Journal of Mathematical Physics
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 46
http://linked.open...iv/tvurceVysledku
  • Grundland, A. M.
  • Šnobl, Libor
http://linked.open...ain/vavai/riv/wos
  • 000231391900031
http://linked.open...n/vavai/riv/zamer
issn
  • 0022-2488
number of pages
http://localhost/t...ganizacniJednotka
  • 21340
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