Matches in SemOpenAlex for { <https://semopenalex.org/work/W2963673977> ?p ?o ?g. }
Showing items 1 to 84 of
84
with 100 items per page.
- W2963673977 endingPage "218" @default.
- W2963673977 startingPage "199" @default.
- W2963673977 abstract "A fundamental result by Gromov and Thurston asserts that, if M is a closed hyperbolic n-manifold, then the simplicial volume $$Vert MVert $$ of M is equal to $$mathrm{Vol}(M)/v_n$$ , where $$v_n$$ is a constant depending only on the dimension of M. The same result also holds for complete finite-volume hyperbolic manifolds without boundary, while Jungreis proved that the ratio $$mathrm{Vol}(M)/Vert MVert $$ is strictly smaller than $$v_n$$ if M is compact with nonempty geodesic boundary. We prove here a quantitative version of Jungreis’ result for $$nge 4$$ , which bounds from below the ratio $$Vert MVert /mathrm{Vol}(M)$$ in terms of the ratio $$mathrm{Vol}(partial M)/mathrm{Vol}(M)$$ . As a consequence, we show that, for $$nge 4$$ , a sequence $${M_i}$$ of compact hyperbolic n-manifolds with geodesic boundary satisfies $$lim _i mathrm{Vol}(M_i)/Vert M_iVert =v_n$$ if and only if $$lim _i mathrm{Vol}(partial M_i)/mathrm{Vol}(M_i)=0$$ . We also provide estimates of the simplicial volume of hyperbolic manifolds with geodesic boundary in dimension 3." @default.
- W2963673977 created "2019-07-30" @default.
- W2963673977 creator A5039157750 @default.
- W2963673977 creator A5042117059 @default.
- W2963673977 creator A5086763607 @default.
- W2963673977 date "2016-10-11" @default.
- W2963673977 modified "2023-10-16" @default.
- W2963673977 title "A quantitative version of a theorem by Jungreis" @default.
- W2963673977 cites W1538177203 @default.
- W2963673977 cites W1545892051 @default.
- W2963673977 cites W1871724897 @default.
- W2963673977 cites W1883499129 @default.
- W2963673977 cites W1970659833 @default.
- W2963673977 cites W1989055270 @default.
- W2963673977 cites W1994314846 @default.
- W2963673977 cites W2002766264 @default.
- W2963673977 cites W2054422062 @default.
- W2963673977 cites W2083104525 @default.
- W2963673977 cites W2094555583 @default.
- W2963673977 cites W2094897684 @default.
- W2963673977 cites W2095041160 @default.
- W2963673977 cites W2149837999 @default.
- W2963673977 cites W2167490938 @default.
- W2963673977 cites W2963298380 @default.
- W2963673977 cites W3100951282 @default.
- W2963673977 cites W3101346479 @default.
- W2963673977 cites W4292166790 @default.
- W2963673977 doi "https://doi.org/10.1007/s10711-016-0197-6" @default.
- W2963673977 hasPublicationYear "2016" @default.
- W2963673977 type Work @default.
- W2963673977 sameAs 2963673977 @default.
- W2963673977 citedByCount "2" @default.
- W2963673977 countsByYear W29636739772019 @default.
- W2963673977 countsByYear W29636739772023 @default.
- W2963673977 crossrefType "journal-article" @default.
- W2963673977 hasAuthorship W2963673977A5039157750 @default.
- W2963673977 hasAuthorship W2963673977A5042117059 @default.
- W2963673977 hasAuthorship W2963673977A5086763607 @default.
- W2963673977 hasBestOaLocation W29636739772 @default.
- W2963673977 hasConcept C114614502 @default.
- W2963673977 hasConcept C134306372 @default.
- W2963673977 hasConcept C165818556 @default.
- W2963673977 hasConcept C192939610 @default.
- W2963673977 hasConcept C206352148 @default.
- W2963673977 hasConcept C2779593128 @default.
- W2963673977 hasConcept C33676613 @default.
- W2963673977 hasConcept C33923547 @default.
- W2963673977 hasConcept C62354387 @default.
- W2963673977 hasConcept C70984080 @default.
- W2963673977 hasConcept C92047909 @default.
- W2963673977 hasConceptScore W2963673977C114614502 @default.
- W2963673977 hasConceptScore W2963673977C134306372 @default.
- W2963673977 hasConceptScore W2963673977C165818556 @default.
- W2963673977 hasConceptScore W2963673977C192939610 @default.
- W2963673977 hasConceptScore W2963673977C206352148 @default.
- W2963673977 hasConceptScore W2963673977C2779593128 @default.
- W2963673977 hasConceptScore W2963673977C33676613 @default.
- W2963673977 hasConceptScore W2963673977C33923547 @default.
- W2963673977 hasConceptScore W2963673977C62354387 @default.
- W2963673977 hasConceptScore W2963673977C70984080 @default.
- W2963673977 hasConceptScore W2963673977C92047909 @default.
- W2963673977 hasFunder F4320320924 @default.
- W2963673977 hasIssue "1" @default.
- W2963673977 hasLocation W29636739771 @default.
- W2963673977 hasLocation W29636739772 @default.
- W2963673977 hasOpenAccess W2963673977 @default.
- W2963673977 hasPrimaryLocation W29636739771 @default.
- W2963673977 hasRelatedWork W129985895 @default.
- W2963673977 hasRelatedWork W180219860 @default.
- W2963673977 hasRelatedWork W2044956558 @default.
- W2963673977 hasRelatedWork W2057790427 @default.
- W2963673977 hasRelatedWork W2080835215 @default.
- W2963673977 hasRelatedWork W2094201269 @default.
- W2963673977 hasRelatedWork W2902585561 @default.
- W2963673977 hasRelatedWork W3098954043 @default.
- W2963673977 hasRelatedWork W4256184147 @default.
- W2963673977 hasRelatedWork W2059771598 @default.
- W2963673977 hasVolume "187" @default.
- W2963673977 isParatext "false" @default.
- W2963673977 isRetracted "false" @default.
- W2963673977 magId "2963673977" @default.
- W2963673977 workType "article" @default.