Matches in SemOpenAlex for { <https://semopenalex.org/work/W1566388434> ?p ?o ?g. }
Showing items 1 to 83 of
83
with 100 items per page.
- W1566388434 abstract "There are several Teichmuller spaces associated to a surface of infinite topological type, after the choice of a particular basepoint (a complex or a hyperbolic structure on the surface). These spaces include the quasiconformal Teichmuller space, the length spectrum Teichmuller space, the Fenchel-Nielsen Teichmuller space, and there are others. In general, these spaces are set-theoretically different. An important question is therefore to understand relations between these spaces. Each of these spaces is equipped with its own metric, and under some hypotheses, there are inclusions between these spaces. In this paper, we obtain local metric comparison results on these inclusions, namely, we show that the inclusions are locally bi-Lipschitz under certain hypotheses. To obtain these results, we use some hyperbolic geometry estimates that give new results also for surfaces of finite type. We recall that in the case of a surface of finite type, all these Teichmuller spaces coincide setwise. In the case of a surface of finite type with no boundary components (and possibly with punctures), we show that the restriction of the identity map to any part of Teichmuller space is globally bi-Lipschitz with respect to the length spectrum metric and the classical Teichmuller metric on the domain and on the range respectively. In the case of a surface of finite type with punctures and boundary components, there is a metric on the Teichmuller space which we call the arc metric, whose definition is analogous to the length spectrum metric, but which uses lengths of geodesic arcs instead of lengths of closed geodesics. We show that the restriction of the identity map restricted to any relative thick part of Teichmuller space is globally bi-Lipschitz, with respect to any of the three metrics: the length spectrum metric, the Teichmuller metric and the arc metric on the domain and on the range." @default.
- W1566388434 created "2016-06-24" @default.
- W1566388434 creator A5043598789 @default.
- W1566388434 creator A5051229707 @default.
- W1566388434 creator A5077143673 @default.
- W1566388434 creator A5022664357 @default.
- W1566388434 date "2010-12-11" @default.
- W1566388434 modified "2023-09-23" @default.
- W1566388434 title "On local comparison between various metrics on Teichm" @default.
- W1566388434 hasPublicationYear "2010" @default.
- W1566388434 type Work @default.
- W1566388434 sameAs 1566388434 @default.
- W1566388434 citedByCount "4" @default.
- W1566388434 countsByYear W15663884342012 @default.
- W1566388434 countsByYear W15663884342014 @default.
- W1566388434 countsByYear W15663884342015 @default.
- W1566388434 countsByYear W15663884342016 @default.
- W1566388434 crossrefType "posted-content" @default.
- W1566388434 hasAuthorship W1566388434A5022664357 @default.
- W1566388434 hasAuthorship W1566388434A5043598789 @default.
- W1566388434 hasAuthorship W1566388434A5051229707 @default.
- W1566388434 hasAuthorship W1566388434A5077143673 @default.
- W1566388434 hasConcept C111919701 @default.
- W1566388434 hasConcept C127313418 @default.
- W1566388434 hasConcept C12773090 @default.
- W1566388434 hasConcept C134306372 @default.
- W1566388434 hasConcept C151730666 @default.
- W1566388434 hasConcept C162324750 @default.
- W1566388434 hasConcept C176217482 @default.
- W1566388434 hasConcept C198043062 @default.
- W1566388434 hasConcept C202444582 @default.
- W1566388434 hasConcept C21547014 @default.
- W1566388434 hasConcept C22324862 @default.
- W1566388434 hasConcept C2524010 @default.
- W1566388434 hasConcept C2776799497 @default.
- W1566388434 hasConcept C2777299769 @default.
- W1566388434 hasConcept C2778572836 @default.
- W1566388434 hasConcept C33923547 @default.
- W1566388434 hasConcept C41008148 @default.
- W1566388434 hasConcept C62354387 @default.
- W1566388434 hasConceptScore W1566388434C111919701 @default.
- W1566388434 hasConceptScore W1566388434C127313418 @default.
- W1566388434 hasConceptScore W1566388434C12773090 @default.
- W1566388434 hasConceptScore W1566388434C134306372 @default.
- W1566388434 hasConceptScore W1566388434C151730666 @default.
- W1566388434 hasConceptScore W1566388434C162324750 @default.
- W1566388434 hasConceptScore W1566388434C176217482 @default.
- W1566388434 hasConceptScore W1566388434C198043062 @default.
- W1566388434 hasConceptScore W1566388434C202444582 @default.
- W1566388434 hasConceptScore W1566388434C21547014 @default.
- W1566388434 hasConceptScore W1566388434C22324862 @default.
- W1566388434 hasConceptScore W1566388434C2524010 @default.
- W1566388434 hasConceptScore W1566388434C2776799497 @default.
- W1566388434 hasConceptScore W1566388434C2777299769 @default.
- W1566388434 hasConceptScore W1566388434C2778572836 @default.
- W1566388434 hasConceptScore W1566388434C33923547 @default.
- W1566388434 hasConceptScore W1566388434C41008148 @default.
- W1566388434 hasConceptScore W1566388434C62354387 @default.
- W1566388434 hasOpenAccess W1566388434 @default.
- W1566388434 hasRelatedWork W1557874653 @default.
- W1566388434 hasRelatedWork W1609568191 @default.
- W1566388434 hasRelatedWork W1801526286 @default.
- W1566388434 hasRelatedWork W1986016579 @default.
- W1566388434 hasRelatedWork W1987065976 @default.
- W1566388434 hasRelatedWork W2008547500 @default.
- W1566388434 hasRelatedWork W2023103716 @default.
- W1566388434 hasRelatedWork W2510217343 @default.
- W1566388434 hasRelatedWork W2542972671 @default.
- W1566388434 hasRelatedWork W2914529259 @default.
- W1566388434 hasRelatedWork W2949078544 @default.
- W1566388434 hasRelatedWork W2949230780 @default.
- W1566388434 hasRelatedWork W2949288092 @default.
- W1566388434 hasRelatedWork W2949499286 @default.
- W1566388434 hasRelatedWork W2949566531 @default.
- W1566388434 hasRelatedWork W2950378521 @default.
- W1566388434 hasRelatedWork W2951255310 @default.
- W1566388434 hasRelatedWork W2953340151 @default.
- W1566388434 hasRelatedWork W3105450909 @default.
- W1566388434 hasRelatedWork W3203198849 @default.
- W1566388434 isParatext "false" @default.
- W1566388434 isRetracted "false" @default.
- W1566388434 magId "1566388434" @default.
- W1566388434 workType "article" @default.