Matches in SemOpenAlex for { <https://semopenalex.org/work/W2105339944> ?p ?o ?g. }
Showing items 1 to 86 of
86
with 100 items per page.
- W2105339944 abstract "We associate to each non-singular action A of a connected Lie group G on a closed manifold M and each A-invariant probability measure mu on M, a linear mapping P_A from the cohomology H^*(mathcal{F}) of the foliation mathcal{F} given by the orbits of A onto the cohomology H^*(mathcal{G}) of the Lie algebra mathcal{G} of G. This extends to actions the asymptotic cycles of S. Schwartzman and D. Sullivan and gives a strong connection between the ergodic properties of A and the characteristic mapping chi of mathcal{F} as defined by dos Santos (Contemp. Math.161 (1994), 41–57). The ergodic notion of E-action introduced by Arraut and dos Santos (Topology31 (1992), 545–555) extends naturally to actions of Lie groups and we prove the main result of this article which shows that a non-singular E-action A of a nilpotent Lie group G completely determines the characteristic mapping chi of the foliation mathcal{F} given by A. This shows the strength of the above connection and gives as a corollary the vanishing theorem for foliated bundles proved by dos Santos." @default.
- W2105339944 created "2016-06-24" @default.
- W2105339944 creator A5008417118 @default.
- W2105339944 date "2002-04-01" @default.
- W2105339944 modified "2023-10-16" @default.
- W2105339944 title "Actions of Lie groups on closed manifolds" @default.
- W2105339944 doi "https://doi.org/10.1017/s0143385702000299" @default.
- W2105339944 hasPublicationYear "2002" @default.
- W2105339944 type Work @default.
- W2105339944 sameAs 2105339944 @default.
- W2105339944 citedByCount "4" @default.
- W2105339944 countsByYear W21053399442012 @default.
- W2105339944 countsByYear W21053399442014 @default.
- W2105339944 crossrefType "journal-article" @default.
- W2105339944 hasAuthorship W2105339944A5008417118 @default.
- W2105339944 hasConcept C114614502 @default.
- W2105339944 hasConcept C122044880 @default.
- W2105339944 hasConcept C127313418 @default.
- W2105339944 hasConcept C127413603 @default.
- W2105339944 hasConcept C131715654 @default.
- W2105339944 hasConcept C13355873 @default.
- W2105339944 hasConcept C168425004 @default.
- W2105339944 hasConcept C17409809 @default.
- W2105339944 hasConcept C178790620 @default.
- W2105339944 hasConcept C185592680 @default.
- W2105339944 hasConcept C187915474 @default.
- W2105339944 hasConcept C190470478 @default.
- W2105339944 hasConcept C202444582 @default.
- W2105339944 hasConcept C22365015 @default.
- W2105339944 hasConcept C2524010 @default.
- W2105339944 hasConcept C26687426 @default.
- W2105339944 hasConcept C2781311116 @default.
- W2105339944 hasConcept C32518243 @default.
- W2105339944 hasConcept C33923547 @default.
- W2105339944 hasConcept C37914503 @default.
- W2105339944 hasConcept C44594293 @default.
- W2105339944 hasConcept C50555996 @default.
- W2105339944 hasConcept C51568863 @default.
- W2105339944 hasConcept C529865628 @default.
- W2105339944 hasConcept C78519656 @default.
- W2105339944 hasConcept C78606066 @default.
- W2105339944 hasConceptScore W2105339944C114614502 @default.
- W2105339944 hasConceptScore W2105339944C122044880 @default.
- W2105339944 hasConceptScore W2105339944C127313418 @default.
- W2105339944 hasConceptScore W2105339944C127413603 @default.
- W2105339944 hasConceptScore W2105339944C131715654 @default.
- W2105339944 hasConceptScore W2105339944C13355873 @default.
- W2105339944 hasConceptScore W2105339944C168425004 @default.
- W2105339944 hasConceptScore W2105339944C17409809 @default.
- W2105339944 hasConceptScore W2105339944C178790620 @default.
- W2105339944 hasConceptScore W2105339944C185592680 @default.
- W2105339944 hasConceptScore W2105339944C187915474 @default.
- W2105339944 hasConceptScore W2105339944C190470478 @default.
- W2105339944 hasConceptScore W2105339944C202444582 @default.
- W2105339944 hasConceptScore W2105339944C22365015 @default.
- W2105339944 hasConceptScore W2105339944C2524010 @default.
- W2105339944 hasConceptScore W2105339944C26687426 @default.
- W2105339944 hasConceptScore W2105339944C2781311116 @default.
- W2105339944 hasConceptScore W2105339944C32518243 @default.
- W2105339944 hasConceptScore W2105339944C33923547 @default.
- W2105339944 hasConceptScore W2105339944C37914503 @default.
- W2105339944 hasConceptScore W2105339944C44594293 @default.
- W2105339944 hasConceptScore W2105339944C50555996 @default.
- W2105339944 hasConceptScore W2105339944C51568863 @default.
- W2105339944 hasConceptScore W2105339944C529865628 @default.
- W2105339944 hasConceptScore W2105339944C78519656 @default.
- W2105339944 hasConceptScore W2105339944C78606066 @default.
- W2105339944 hasIssue "02" @default.
- W2105339944 hasLocation W21053399441 @default.
- W2105339944 hasOpenAccess W2105339944 @default.
- W2105339944 hasPrimaryLocation W21053399441 @default.
- W2105339944 hasRelatedWork W2066212725 @default.
- W2105339944 hasRelatedWork W2087734572 @default.
- W2105339944 hasRelatedWork W2105339944 @default.
- W2105339944 hasRelatedWork W2936403155 @default.
- W2105339944 hasRelatedWork W2949258311 @default.
- W2105339944 hasRelatedWork W4230292203 @default.
- W2105339944 hasRelatedWork W4230548360 @default.
- W2105339944 hasRelatedWork W4288366121 @default.
- W2105339944 hasRelatedWork W4299322318 @default.
- W2105339944 hasRelatedWork W4299572543 @default.
- W2105339944 hasVolume "22" @default.
- W2105339944 isParatext "false" @default.
- W2105339944 isRetracted "false" @default.
- W2105339944 magId "2105339944" @default.
- W2105339944 workType "article" @default.