Matches in SemOpenAlex for { <https://semopenalex.org/work/W3087831201> ?p ?o ?g. }
Showing items 1 to 69 of
69
with 100 items per page.
- W3087831201 abstract "AbstractThe geometry of an admissible B¨acklund transformation for an exteriordifferential system is described by an admissible Cartan connection for ageometric structure on a tower with infinite–dimensional skeleton whichis the universal prolongation of a |1|–graded semi-simple Lie algebra.2000 MSC: 14M17,53C05,53C10,53C30, 58J70,58J72,58A15.Key words: generalized homogeneous spaces, B¨acklund transformations,connections. 1 Towers on skeletons In the following we consider infinite–dimensional objects in the p–category ofobjects obtained as projective limits of finite–dimensional ones [3].Definition 1 An algebraic skeleton on a finite–dimensional vector space V isa triple (E,G,ρ), with G a p–Lie group, E = V ⊕g, g the Lie algebra of G, andρ a representation of G on E such that ρ(g)x = Ad(g)x, for g ∈ G, x ∈ g. Aninfinitesimal skeleton can be analogously defined via the representation of g onE.Definition 2 Let (E,G,ρ) be a skeleton on V and Z a manifold of type V[3]. We say that a p–principal fibre bundle P(Z,G) provided with an absoluteparallelism ω on P is a tower on Z with skeleton (E,G,ρ) if ω takes values in Eand satisfies: R" @default.
- W3087831201 created "2020-10-01" @default.
- W3087831201 creator A5070452392 @default.
- W3087831201 creator A5083830917 @default.
- W3087831201 date "2003-11-01" @default.
- W3087831201 modified "2023-09-27" @default.
- W3087831201 title "On the Geometry of Bäcklund Transformations" @default.
- W3087831201 hasPublicationYear "2003" @default.
- W3087831201 type Work @default.
- W3087831201 sameAs 3087831201 @default.
- W3087831201 citedByCount "0" @default.
- W3087831201 crossrefType "posted-content" @default.
- W3087831201 hasAuthorship W3087831201A5070452392 @default.
- W3087831201 hasAuthorship W3087831201A5083830917 @default.
- W3087831201 hasConcept C114614502 @default.
- W3087831201 hasConcept C127413603 @default.
- W3087831201 hasConcept C13355873 @default.
- W3087831201 hasConcept C136119220 @default.
- W3087831201 hasConcept C187915474 @default.
- W3087831201 hasConcept C18969341 @default.
- W3087831201 hasConcept C199360897 @default.
- W3087831201 hasConcept C202444582 @default.
- W3087831201 hasConcept C2524010 @default.
- W3087831201 hasConcept C33923547 @default.
- W3087831201 hasConcept C41008148 @default.
- W3087831201 hasConcept C51568863 @default.
- W3087831201 hasConcept C529865628 @default.
- W3087831201 hasConcept C78519656 @default.
- W3087831201 hasConceptScore W3087831201C114614502 @default.
- W3087831201 hasConceptScore W3087831201C127413603 @default.
- W3087831201 hasConceptScore W3087831201C13355873 @default.
- W3087831201 hasConceptScore W3087831201C136119220 @default.
- W3087831201 hasConceptScore W3087831201C187915474 @default.
- W3087831201 hasConceptScore W3087831201C18969341 @default.
- W3087831201 hasConceptScore W3087831201C199360897 @default.
- W3087831201 hasConceptScore W3087831201C202444582 @default.
- W3087831201 hasConceptScore W3087831201C2524010 @default.
- W3087831201 hasConceptScore W3087831201C33923547 @default.
- W3087831201 hasConceptScore W3087831201C41008148 @default.
- W3087831201 hasConceptScore W3087831201C51568863 @default.
- W3087831201 hasConceptScore W3087831201C529865628 @default.
- W3087831201 hasConceptScore W3087831201C78519656 @default.
- W3087831201 hasLocation W30878312011 @default.
- W3087831201 hasOpenAccess W3087831201 @default.
- W3087831201 hasPrimaryLocation W30878312011 @default.
- W3087831201 hasRelatedWork W15344888 @default.
- W3087831201 hasRelatedWork W1967160591 @default.
- W3087831201 hasRelatedWork W1975242397 @default.
- W3087831201 hasRelatedWork W1997592498 @default.
- W3087831201 hasRelatedWork W2000735480 @default.
- W3087831201 hasRelatedWork W2015557397 @default.
- W3087831201 hasRelatedWork W2033755061 @default.
- W3087831201 hasRelatedWork W205247589 @default.
- W3087831201 hasRelatedWork W2071429237 @default.
- W3087831201 hasRelatedWork W2093807192 @default.
- W3087831201 hasRelatedWork W2100069244 @default.
- W3087831201 hasRelatedWork W2323733725 @default.
- W3087831201 hasRelatedWork W2341069134 @default.
- W3087831201 hasRelatedWork W28673944 @default.
- W3087831201 hasRelatedWork W2912607811 @default.
- W3087831201 hasRelatedWork W2942997092 @default.
- W3087831201 hasRelatedWork W2951355494 @default.
- W3087831201 hasRelatedWork W2952699532 @default.
- W3087831201 hasRelatedWork W963020456 @default.
- W3087831201 hasRelatedWork W2548703583 @default.
- W3087831201 isParatext "false" @default.
- W3087831201 isRetracted "false" @default.
- W3087831201 magId "3087831201" @default.
- W3087831201 workType "article" @default.