Matches in SemOpenAlex for { <https://semopenalex.org/work/W4323320210> ?p ?o ?g. }
Showing items 1 to 86 of
86
with 100 items per page.
- W4323320210 abstract "Abstract Given a C 1 function H defined in the unit sphere S 2 , an H -surface M is a surface in the Euclidean space R 3 whose mean curvature H M satisfies H M (p) = H(N p ), p ∈ M , where N is the Gauss map of M . Given a closed simple curve Γ ⊂ R 3 and a function H , in this paper we investigate the geometry of compact H -surfaces spanning Γ in terms of Γ . Under mild assumptions on H , we prove non-existence of closed H -surfaces, in contrast with the classical case of constant mean curvature. We give conditions on H that ensure that if Γ is a circle, then M is a rotational surface. We also establish the existence of estimates of the area of H -surfaces in terms of the height of the surface. Mathematics Subject Classification: 53A10, 53C42, 35J93, 35B06, 35B50." @default.
- W4323320210 created "2023-03-07" @default.
- W4323320210 creator A5069959802 @default.
- W4323320210 creator A5079088926 @default.
- W4323320210 date "2023-03-06" @default.
- W4323320210 modified "2023-10-16" @default.
- W4323320210 title "Compact surfaces with boundary with prescribed mean curvature depending on the Gauss map" @default.
- W4323320210 doi "https://doi.org/10.21203/rs.3.rs-2639544/v1" @default.
- W4323320210 hasPublicationYear "2023" @default.
- W4323320210 type Work @default.
- W4323320210 citedByCount "0" @default.
- W4323320210 crossrefType "posted-content" @default.
- W4323320210 hasAuthorship W4323320210A5069959802 @default.
- W4323320210 hasAuthorship W4323320210A5079088926 @default.
- W4323320210 hasBestOaLocation W43233202101 @default.
- W4323320210 hasConcept C111472728 @default.
- W4323320210 hasConcept C114614502 @default.
- W4323320210 hasConcept C127813850 @default.
- W4323320210 hasConcept C128688156 @default.
- W4323320210 hasConcept C129782007 @default.
- W4323320210 hasConcept C134306372 @default.
- W4323320210 hasConcept C138885662 @default.
- W4323320210 hasConcept C14036430 @default.
- W4323320210 hasConcept C16140857 @default.
- W4323320210 hasConcept C175017881 @default.
- W4323320210 hasConcept C186450821 @default.
- W4323320210 hasConcept C195065555 @default.
- W4323320210 hasConcept C199360897 @default.
- W4323320210 hasConcept C2524010 @default.
- W4323320210 hasConcept C2776441312 @default.
- W4323320210 hasConcept C2776799497 @default.
- W4323320210 hasConcept C2777027219 @default.
- W4323320210 hasConcept C2778572836 @default.
- W4323320210 hasConcept C2780586882 @default.
- W4323320210 hasConcept C30707913 @default.
- W4323320210 hasConcept C33923547 @default.
- W4323320210 hasConcept C41008148 @default.
- W4323320210 hasConcept C41895202 @default.
- W4323320210 hasConcept C62354387 @default.
- W4323320210 hasConcept C70251129 @default.
- W4323320210 hasConcept C78458016 @default.
- W4323320210 hasConcept C86803240 @default.
- W4323320210 hasConceptScore W4323320210C111472728 @default.
- W4323320210 hasConceptScore W4323320210C114614502 @default.
- W4323320210 hasConceptScore W4323320210C127813850 @default.
- W4323320210 hasConceptScore W4323320210C128688156 @default.
- W4323320210 hasConceptScore W4323320210C129782007 @default.
- W4323320210 hasConceptScore W4323320210C134306372 @default.
- W4323320210 hasConceptScore W4323320210C138885662 @default.
- W4323320210 hasConceptScore W4323320210C14036430 @default.
- W4323320210 hasConceptScore W4323320210C16140857 @default.
- W4323320210 hasConceptScore W4323320210C175017881 @default.
- W4323320210 hasConceptScore W4323320210C186450821 @default.
- W4323320210 hasConceptScore W4323320210C195065555 @default.
- W4323320210 hasConceptScore W4323320210C199360897 @default.
- W4323320210 hasConceptScore W4323320210C2524010 @default.
- W4323320210 hasConceptScore W4323320210C2776441312 @default.
- W4323320210 hasConceptScore W4323320210C2776799497 @default.
- W4323320210 hasConceptScore W4323320210C2777027219 @default.
- W4323320210 hasConceptScore W4323320210C2778572836 @default.
- W4323320210 hasConceptScore W4323320210C2780586882 @default.
- W4323320210 hasConceptScore W4323320210C30707913 @default.
- W4323320210 hasConceptScore W4323320210C33923547 @default.
- W4323320210 hasConceptScore W4323320210C41008148 @default.
- W4323320210 hasConceptScore W4323320210C41895202 @default.
- W4323320210 hasConceptScore W4323320210C62354387 @default.
- W4323320210 hasConceptScore W4323320210C70251129 @default.
- W4323320210 hasConceptScore W4323320210C78458016 @default.
- W4323320210 hasConceptScore W4323320210C86803240 @default.
- W4323320210 hasLocation W43233202101 @default.
- W4323320210 hasLocation W43233202102 @default.
- W4323320210 hasOpenAccess W4323320210 @default.
- W4323320210 hasPrimaryLocation W43233202101 @default.
- W4323320210 hasRelatedWork W2076459920 @default.
- W4323320210 hasRelatedWork W2109988249 @default.
- W4323320210 hasRelatedWork W2199708101 @default.
- W4323320210 hasRelatedWork W2356401747 @default.
- W4323320210 hasRelatedWork W2504596514 @default.
- W4323320210 hasRelatedWork W2949659270 @default.
- W4323320210 hasRelatedWork W3172628332 @default.
- W4323320210 hasRelatedWork W4319323615 @default.
- W4323320210 hasRelatedWork W4323320210 @default.
- W4323320210 hasRelatedWork W4382988015 @default.
- W4323320210 isParatext "false" @default.
- W4323320210 isRetracted "false" @default.
- W4323320210 workType "article" @default.