Matches in SemOpenAlex for { <https://semopenalex.org/work/W2022138514> ?p ?o ?g. }
Showing items 1 to 76 of
76
with 100 items per page.
- W2022138514 abstract "Let $(M,pi,mathcal{D})$ be a Poisson manifold endowed with a flat, torsion-free contravariant connection. We show that if $mathcal{D}$ is an $mathcal{F}$-connection then there exists a tensor $mathbf{T}$ such that $mathcal{D}mathbf{T}$ is the metacurvature tensor introduced by E. Hawkins in his work on noncommutative deformations. We compute $mathbf{T}$ and the metacurvature tensor in this case, and show that if $mathbf{T}=0$ then, near any regular point, $pi$ and $mathcal{D}$ are defined in a natural way by a Lie algebra action and a solution of the classical Yang-Baxter equation. Moreover, when $mathcal{D}$ is the contravariant Levi-Civita connection associated to $pi$ and a Riemannian metric, the Lie algebra action preserves the metric." @default.
- W2022138514 created "2016-06-24" @default.
- W2022138514 creator A5022274294 @default.
- W2022138514 creator A5085591943 @default.
- W2022138514 date "2014-01-02" @default.
- W2022138514 modified "2023-09-27" @default.
- W2022138514 title "On the local structure of noncommutative deformations" @default.
- W2022138514 cites W1567875216 @default.
- W2022138514 cites W1921219854 @default.
- W2022138514 cites W1982169987 @default.
- W2022138514 cites W2123212332 @default.
- W2022138514 cites W2598249675 @default.
- W2022138514 cites W2963895966 @default.
- W2022138514 cites W3037991803 @default.
- W2022138514 hasPublicationYear "2014" @default.
- W2022138514 type Work @default.
- W2022138514 sameAs 2022138514 @default.
- W2022138514 citedByCount "0" @default.
- W2022138514 crossrefType "posted-content" @default.
- W2022138514 hasAuthorship W2022138514A5022274294 @default.
- W2022138514 hasAuthorship W2022138514A5085591943 @default.
- W2022138514 hasConcept C121332964 @default.
- W2022138514 hasConcept C127413603 @default.
- W2022138514 hasConcept C13355873 @default.
- W2022138514 hasConcept C136119220 @default.
- W2022138514 hasConcept C202444582 @default.
- W2022138514 hasConcept C206236147 @default.
- W2022138514 hasConcept C2524010 @default.
- W2022138514 hasConcept C33923547 @default.
- W2022138514 hasConcept C37914503 @default.
- W2022138514 hasConcept C51255310 @default.
- W2022138514 hasConcept C51568863 @default.
- W2022138514 hasConcept C529865628 @default.
- W2022138514 hasConcept C68797384 @default.
- W2022138514 hasConcept C78519656 @default.
- W2022138514 hasConceptScore W2022138514C121332964 @default.
- W2022138514 hasConceptScore W2022138514C127413603 @default.
- W2022138514 hasConceptScore W2022138514C13355873 @default.
- W2022138514 hasConceptScore W2022138514C136119220 @default.
- W2022138514 hasConceptScore W2022138514C202444582 @default.
- W2022138514 hasConceptScore W2022138514C206236147 @default.
- W2022138514 hasConceptScore W2022138514C2524010 @default.
- W2022138514 hasConceptScore W2022138514C33923547 @default.
- W2022138514 hasConceptScore W2022138514C37914503 @default.
- W2022138514 hasConceptScore W2022138514C51255310 @default.
- W2022138514 hasConceptScore W2022138514C51568863 @default.
- W2022138514 hasConceptScore W2022138514C529865628 @default.
- W2022138514 hasConceptScore W2022138514C68797384 @default.
- W2022138514 hasConceptScore W2022138514C78519656 @default.
- W2022138514 hasLocation W20221385141 @default.
- W2022138514 hasOpenAccess W2022138514 @default.
- W2022138514 hasPrimaryLocation W20221385141 @default.
- W2022138514 hasRelatedWork W118406910 @default.
- W2022138514 hasRelatedWork W1892182487 @default.
- W2022138514 hasRelatedWork W1972043045 @default.
- W2022138514 hasRelatedWork W1995977095 @default.
- W2022138514 hasRelatedWork W2000461512 @default.
- W2022138514 hasRelatedWork W2067544037 @default.
- W2022138514 hasRelatedWork W2105658924 @default.
- W2022138514 hasRelatedWork W2123718936 @default.
- W2022138514 hasRelatedWork W2158848428 @default.
- W2022138514 hasRelatedWork W2261083286 @default.
- W2022138514 hasRelatedWork W2287949409 @default.
- W2022138514 hasRelatedWork W2368456946 @default.
- W2022138514 hasRelatedWork W265114678 @default.
- W2022138514 hasRelatedWork W2952326876 @default.
- W2022138514 hasRelatedWork W2962789795 @default.
- W2022138514 hasRelatedWork W2963976488 @default.
- W2022138514 hasRelatedWork W3039603713 @default.
- W2022138514 hasRelatedWork W3105152640 @default.
- W2022138514 hasRelatedWork W3197271596 @default.
- W2022138514 hasRelatedWork W46291231 @default.
- W2022138514 isParatext "false" @default.
- W2022138514 isRetracted "false" @default.
- W2022138514 magId "2022138514" @default.
- W2022138514 workType "article" @default.