Matches in SemOpenAlex for { <https://semopenalex.org/work/W10670938> ?p ?o ?g. }
Showing items 1 to 73 of
73
with 100 items per page.
- W10670938 endingPage "1394" @default.
- W10670938 startingPage "1371" @default.
- W10670938 abstract "We prove that the isoperimetric profile of a convex domain Ω with compact closure in a Riemannian manifold (M n+1 , g) satisfies a second-order differential inequality that only depends on the dimension of the manifold and on a lower bound on the Ricci curvature of Q. Regularity properties of the profile and topological consequences on isoperimetric regions arise naturally from this differential point of view. Moreover, by integrating the differential inequality, we obtain sharp comparison theorems: not only can we derive an inequality that should be compared with Levy-Gromov Inequality but we also show that if Ric > n6 on Q, then the profile of Q is bounded from above by the profile of the half-space H n+1 δ in the simply connected space form with constant sectional curvature δ. As a consequence of isoperimetric comparisons we obtain geometric estimations for the volume and the diameter of Ω, and for the first non-zero Neumann eigenvalue for the Laplace operator on Ω." @default.
- W10670938 created "2016-06-24" @default.
- W10670938 creator A5008012446 @default.
- W10670938 creator A5043304743 @default.
- W10670938 date "2005-01-01" @default.
- W10670938 modified "2023-10-10" @default.
- W10670938 title "Some isoperimetric comparison theorems for convex bodies in Riemannian" @default.
- W10670938 cites W104291300 @default.
- W10670938 cites W1489458628 @default.
- W10670938 cites W1567771969 @default.
- W10670938 cites W1585037282 @default.
- W10670938 cites W1653594855 @default.
- W10670938 cites W194833069 @default.
- W10670938 cites W2002236407 @default.
- W10670938 cites W2033198116 @default.
- W10670938 cites W2051110045 @default.
- W10670938 cites W2063094927 @default.
- W10670938 cites W2074427892 @default.
- W10670938 cites W2251490743 @default.
- W10670938 cites W2316475421 @default.
- W10670938 cites W2468707729 @default.
- W10670938 cites W2594757380 @default.
- W10670938 cites W582303344 @default.
- W10670938 doi "https://doi.org/10.1512/iumj.2005.54.2575" @default.
- W10670938 hasPublicationYear "2005" @default.
- W10670938 type Work @default.
- W10670938 sameAs 10670938 @default.
- W10670938 citedByCount "40" @default.
- W10670938 countsByYear W106709382014 @default.
- W10670938 countsByYear W106709382015 @default.
- W10670938 countsByYear W106709382016 @default.
- W10670938 countsByYear W106709382017 @default.
- W10670938 countsByYear W106709382018 @default.
- W10670938 countsByYear W106709382020 @default.
- W10670938 countsByYear W106709382021 @default.
- W10670938 countsByYear W106709382022 @default.
- W10670938 countsByYear W106709382023 @default.
- W10670938 crossrefType "journal-article" @default.
- W10670938 hasAuthorship W10670938A5008012446 @default.
- W10670938 hasAuthorship W10670938A5043304743 @default.
- W10670938 hasConcept C112680207 @default.
- W10670938 hasConcept C134306372 @default.
- W10670938 hasConcept C140142295 @default.
- W10670938 hasConcept C202444582 @default.
- W10670938 hasConcept C2524010 @default.
- W10670938 hasConcept C33923547 @default.
- W10670938 hasConceptScore W10670938C112680207 @default.
- W10670938 hasConceptScore W10670938C134306372 @default.
- W10670938 hasConceptScore W10670938C140142295 @default.
- W10670938 hasConceptScore W10670938C202444582 @default.
- W10670938 hasConceptScore W10670938C2524010 @default.
- W10670938 hasConceptScore W10670938C33923547 @default.
- W10670938 hasIssue "5" @default.
- W10670938 hasLocation W106709381 @default.
- W10670938 hasOpenAccess W10670938 @default.
- W10670938 hasPrimaryLocation W106709381 @default.
- W10670938 hasRelatedWork W1525374302 @default.
- W10670938 hasRelatedWork W1557945163 @default.
- W10670938 hasRelatedWork W1985218657 @default.
- W10670938 hasRelatedWork W2012244121 @default.
- W10670938 hasRelatedWork W2075569927 @default.
- W10670938 hasRelatedWork W2096753949 @default.
- W10670938 hasRelatedWork W2136700322 @default.
- W10670938 hasRelatedWork W2139623322 @default.
- W10670938 hasRelatedWork W2906013357 @default.
- W10670938 hasRelatedWork W4249580765 @default.
- W10670938 hasVolume "54" @default.
- W10670938 isParatext "false" @default.
- W10670938 isRetracted "false" @default.
- W10670938 magId "10670938" @default.
- W10670938 workType "article" @default.