Matches in SemOpenAlex for { <https://semopenalex.org/work/W3102307589> ?p ?o ?g. }
- W3102307589 abstract "We develop a holonomy reduction procedure for general Cartan geometries. We show that, given a reduction of holonomy, the underlying manifold naturally decomposes into a disjoint union of initial submanifolds. Each such submanifold corresponds to an orbit of the holonomy group on the modeling homogeneous space and carries a canonical induced Cartan geometry. The result can therefore be understood as a “curved orbit decomposition.” The theory is then applied to the study of several invariant overdetermined differential equations in projective, conformal, and CR geometry. This makes use of an equivalent description of solutions to these equations as parallel sections of a tractor bundle. In projective geometry we study a third-order differential equation that governs the existence of a compatible Einstein metric, and in conformal geometry we discuss almost-Einstein scales. Finally, we discuss analogues of the two latter equations in CR geometry, which leads to invariant equations that govern the existence of a compatible Kähler–Einstein metric." @default.
- W3102307589 created "2020-11-23" @default.
- W3102307589 creator A5019803024 @default.
- W3102307589 creator A5073389680 @default.
- W3102307589 creator A5085134295 @default.
- W3102307589 date "2014-04-01" @default.
- W3102307589 modified "2023-10-17" @default.
- W3102307589 title "Holonomy reductions of Cartan geometries and curved orbit decompositions" @default.
- W3102307589 cites W1540398361 @default.
- W3102307589 cites W1636309885 @default.
- W3102307589 cites W1638017781 @default.
- W3102307589 cites W1963638678 @default.
- W3102307589 cites W1972098605 @default.
- W3102307589 cites W1977875716 @default.
- W3102307589 cites W1980939326 @default.
- W3102307589 cites W1983557533 @default.
- W3102307589 cites W1986737456 @default.
- W3102307589 cites W1988700387 @default.
- W3102307589 cites W2002416693 @default.
- W3102307589 cites W2004095435 @default.
- W3102307589 cites W2006006201 @default.
- W3102307589 cites W2009782420 @default.
- W3102307589 cites W2023166767 @default.
- W3102307589 cites W2038840526 @default.
- W3102307589 cites W2060392810 @default.
- W3102307589 cites W2063614237 @default.
- W3102307589 cites W2069111311 @default.
- W3102307589 cites W2070129009 @default.
- W3102307589 cites W2072990943 @default.
- W3102307589 cites W2075733684 @default.
- W3102307589 cites W2078033670 @default.
- W3102307589 cites W2078471063 @default.
- W3102307589 cites W2078733831 @default.
- W3102307589 cites W2086292513 @default.
- W3102307589 cites W2093700788 @default.
- W3102307589 cites W2126847907 @default.
- W3102307589 cites W2130675740 @default.
- W3102307589 cites W2229744558 @default.
- W3102307589 cites W2261622188 @default.
- W3102307589 cites W2321110117 @default.
- W3102307589 cites W2322187432 @default.
- W3102307589 cites W2506973712 @default.
- W3102307589 cites W2508857100 @default.
- W3102307589 cites W2593782054 @default.
- W3102307589 cites W2962921685 @default.
- W3102307589 cites W2963031070 @default.
- W3102307589 cites W2963843639 @default.
- W3102307589 cites W2964175748 @default.
- W3102307589 cites W3099167414 @default.
- W3102307589 cites W4248640738 @default.
- W3102307589 cites W4253922436 @default.
- W3102307589 cites W4255876582 @default.
- W3102307589 cites W55027893 @default.
- W3102307589 cites W55783550 @default.
- W3102307589 doi "https://doi.org/10.1215/00127094-2644793" @default.
- W3102307589 hasPublicationYear "2014" @default.
- W3102307589 type Work @default.
- W3102307589 sameAs 3102307589 @default.
- W3102307589 citedByCount "42" @default.
- W3102307589 countsByYear W31023075892013 @default.
- W3102307589 countsByYear W31023075892014 @default.
- W3102307589 countsByYear W31023075892015 @default.
- W3102307589 countsByYear W31023075892016 @default.
- W3102307589 countsByYear W31023075892017 @default.
- W3102307589 countsByYear W31023075892018 @default.
- W3102307589 countsByYear W31023075892019 @default.
- W3102307589 countsByYear W31023075892020 @default.
- W3102307589 countsByYear W31023075892021 @default.
- W3102307589 countsByYear W31023075892022 @default.
- W3102307589 countsByYear W31023075892023 @default.
- W3102307589 crossrefType "journal-article" @default.
- W3102307589 hasAuthorship W3102307589A5019803024 @default.
- W3102307589 hasAuthorship W3102307589A5073389680 @default.
- W3102307589 hasAuthorship W3102307589A5085134295 @default.
- W3102307589 hasBestOaLocation W31023075892 @default.
- W3102307589 hasConcept C134306372 @default.
- W3102307589 hasConcept C136125196 @default.
- W3102307589 hasConcept C147452769 @default.
- W3102307589 hasConcept C151300846 @default.
- W3102307589 hasConcept C190470478 @default.
- W3102307589 hasConcept C192939610 @default.
- W3102307589 hasConcept C202444582 @default.
- W3102307589 hasConcept C2524010 @default.
- W3102307589 hasConcept C32518243 @default.
- W3102307589 hasConcept C33923547 @default.
- W3102307589 hasConcept C37914503 @default.
- W3102307589 hasConcept C98214594 @default.
- W3102307589 hasConceptScore W3102307589C134306372 @default.
- W3102307589 hasConceptScore W3102307589C136125196 @default.
- W3102307589 hasConceptScore W3102307589C147452769 @default.
- W3102307589 hasConceptScore W3102307589C151300846 @default.
- W3102307589 hasConceptScore W3102307589C190470478 @default.
- W3102307589 hasConceptScore W3102307589C192939610 @default.
- W3102307589 hasConceptScore W3102307589C202444582 @default.
- W3102307589 hasConceptScore W3102307589C2524010 @default.
- W3102307589 hasConceptScore W3102307589C32518243 @default.
- W3102307589 hasConceptScore W3102307589C33923547 @default.
- W3102307589 hasConceptScore W3102307589C37914503 @default.
- W3102307589 hasConceptScore W3102307589C98214594 @default.
- W3102307589 hasIssue "5" @default.