Matches in SemOpenAlex for { <https://semopenalex.org/work/W2296237452> ?p ?o ?g. }
Showing items 1 to 76 of
76
with 100 items per page.
- W2296237452 abstract "We prove a phenomenon of concentration of total curvature for stable minimal surfaces in the product space H^2xR; where H^2 is the hyperbolic plane. Under some geometric conditions on the asymptotic boundary of an oriented stable minimal surface immersed in H^2xR, it has infinite total curvature. In particular, we infer that a minimal graph M in H^2xR whose asymptotic boundary is a graph over an arc of the asymptotic boundary of H^2, different from the asymptotic boundary of the boundary of M, has infinite total curvature. Consequently, if M is a stable minimal surface immersed into H^2xR with compact boundary, such that its asymptotic boundary is a graph over the whole asymptotic boundary of H^2; then it has infinite total curvature. We exhibit an example of a minimal graph such that in a domain whose asymptotic boundary is a vertical segment the total curvature is finite, but the total curvature of the graph is infinite, by the theorem cited before. We also present some simple and peculiar examples of infinite total curvature minimal surfaces in H^2xR and their asymptotic boundaries." @default.
- W2296237452 created "2016-06-24" @default.
- W2296237452 creator A5013336940 @default.
- W2296237452 creator A5061385759 @default.
- W2296237452 date "2016-03-10" @default.
- W2296237452 modified "2023-10-17" @default.
- W2296237452 title "Concentration of total curvature of minimal surfaces in H^2xR" @default.
- W2296237452 cites W1484758556 @default.
- W2296237452 cites W1569648413 @default.
- W2296237452 cites W1982467750 @default.
- W2296237452 cites W1992349894 @default.
- W2296237452 cites W2036144354 @default.
- W2296237452 cites W2057681881 @default.
- W2296237452 cites W2098471331 @default.
- W2296237452 cites W2246807872 @default.
- W2296237452 cites W2733945692 @default.
- W2296237452 cites W609159201 @default.
- W2296237452 hasPublicationYear "2016" @default.
- W2296237452 type Work @default.
- W2296237452 sameAs 2296237452 @default.
- W2296237452 citedByCount "4" @default.
- W2296237452 countsByYear W22962374522016 @default.
- W2296237452 countsByYear W22962374522017 @default.
- W2296237452 countsByYear W22962374522020 @default.
- W2296237452 crossrefType "posted-content" @default.
- W2296237452 hasAuthorship W2296237452A5013336940 @default.
- W2296237452 hasAuthorship W2296237452A5061385759 @default.
- W2296237452 hasConcept C114614502 @default.
- W2296237452 hasConcept C127813850 @default.
- W2296237452 hasConcept C132525143 @default.
- W2296237452 hasConcept C134306372 @default.
- W2296237452 hasConcept C16063025 @default.
- W2296237452 hasConcept C175017881 @default.
- W2296237452 hasConcept C195065555 @default.
- W2296237452 hasConcept C2524010 @default.
- W2296237452 hasConcept C30707913 @default.
- W2296237452 hasConcept C33923547 @default.
- W2296237452 hasConcept C62354387 @default.
- W2296237452 hasConceptScore W2296237452C114614502 @default.
- W2296237452 hasConceptScore W2296237452C127813850 @default.
- W2296237452 hasConceptScore W2296237452C132525143 @default.
- W2296237452 hasConceptScore W2296237452C134306372 @default.
- W2296237452 hasConceptScore W2296237452C16063025 @default.
- W2296237452 hasConceptScore W2296237452C175017881 @default.
- W2296237452 hasConceptScore W2296237452C195065555 @default.
- W2296237452 hasConceptScore W2296237452C2524010 @default.
- W2296237452 hasConceptScore W2296237452C30707913 @default.
- W2296237452 hasConceptScore W2296237452C33923547 @default.
- W2296237452 hasConceptScore W2296237452C62354387 @default.
- W2296237452 hasLocation W22962374521 @default.
- W2296237452 hasOpenAccess W2296237452 @default.
- W2296237452 hasPrimaryLocation W22962374521 @default.
- W2296237452 hasRelatedWork W1487453387 @default.
- W2296237452 hasRelatedWork W1582465857 @default.
- W2296237452 hasRelatedWork W1900387524 @default.
- W2296237452 hasRelatedWork W1964482357 @default.
- W2296237452 hasRelatedWork W1981919581 @default.
- W2296237452 hasRelatedWork W1988726523 @default.
- W2296237452 hasRelatedWork W1990151176 @default.
- W2296237452 hasRelatedWork W2026420222 @default.
- W2296237452 hasRelatedWork W2032920717 @default.
- W2296237452 hasRelatedWork W2037794522 @default.
- W2296237452 hasRelatedWork W2130612086 @default.
- W2296237452 hasRelatedWork W2567300523 @default.
- W2296237452 hasRelatedWork W2737142430 @default.
- W2296237452 hasRelatedWork W2950912779 @default.
- W2296237452 hasRelatedWork W3008647776 @default.
- W2296237452 hasRelatedWork W3098148274 @default.
- W2296237452 hasRelatedWork W3099969669 @default.
- W2296237452 hasRelatedWork W3101504580 @default.
- W2296237452 hasRelatedWork W3104569563 @default.
- W2296237452 hasRelatedWork W3124669956 @default.
- W2296237452 isParatext "false" @default.
- W2296237452 isRetracted "false" @default.
- W2296237452 magId "2296237452" @default.
- W2296237452 workType "article" @default.