Matches in SemOpenAlex for { <https://semopenalex.org/work/W4320458946> ?p ?o ?g. }
Showing items 1 to 67 of
67
with 100 items per page.
- W4320458946 abstract "We give sufficient and almost necessary conditions for the prescribed scalar curvature problems within the conformal class of a Riemannian metric $ g $ for both closed manifolds and compact manifolds with boundary, including the interesting cases $ mathbb{S}^{n} $ or some quotient of $ mathbb{S}^{n} $, in dimensions $ n geqslant 3 $, provided that the first eigenvalues of conformal Laplacian (with appropriate boundary conditions if necessary) are positive. When the manifold is not some quotient of $ mathbb{S}^{n} $, we show that, on one hand, any smooth function that is a positive constant within some open subset of the manifold with arbitrary positive measure, and has no restriction on the rest of the manifold, is a prescribed scalar curvature function of some metric under conformal change; on the other hand, any smooth function $ S $ is almost a prescribed scalar curvature function of Yamabe metric within the conformal class $ [g] $ in the sense that an appropriate perturbation of $ S $ that defers with $ S $ within an arbitrarily small open subset is a prescribed scalar curvature function of Yamabe metric. When the manifold is either $ mathbb{S}^{n} $ or $ mathbb{S}^n / Gamma $ with Kleinian group $ Gamma $ we show that any positive function that satisfies a technical analytical condition, called CONDITION B, can be realized as a prescribed scalar curvature functions on these manifolds." @default.
- W4320458946 created "2023-02-14" @default.
- W4320458946 creator A5011792514 @default.
- W4320458946 date "2022-05-30" @default.
- W4320458946 modified "2023-09-29" @default.
- W4320458946 title "Prescribed Scalar Curvature on Compact Manifolds Under Conformal Deformation" @default.
- W4320458946 doi "https://doi.org/10.48550/arxiv.2205.15453" @default.
- W4320458946 hasPublicationYear "2022" @default.
- W4320458946 type Work @default.
- W4320458946 citedByCount "0" @default.
- W4320458946 crossrefType "posted-content" @default.
- W4320458946 hasAuthorship W4320458946A5011792514 @default.
- W4320458946 hasBestOaLocation W43204589461 @default.
- W4320458946 hasConcept C113758315 @default.
- W4320458946 hasConcept C12089564 @default.
- W4320458946 hasConcept C12520029 @default.
- W4320458946 hasConcept C127413603 @default.
- W4320458946 hasConcept C134306372 @default.
- W4320458946 hasConcept C14196021 @default.
- W4320458946 hasConcept C165700671 @default.
- W4320458946 hasConcept C195065555 @default.
- W4320458946 hasConcept C199422724 @default.
- W4320458946 hasConcept C202444582 @default.
- W4320458946 hasConcept C2524010 @default.
- W4320458946 hasConcept C33923547 @default.
- W4320458946 hasConcept C37914503 @default.
- W4320458946 hasConcept C42448751 @default.
- W4320458946 hasConcept C529865628 @default.
- W4320458946 hasConcept C57691317 @default.
- W4320458946 hasConcept C62354387 @default.
- W4320458946 hasConcept C78519656 @default.
- W4320458946 hasConcept C98214594 @default.
- W4320458946 hasConceptScore W4320458946C113758315 @default.
- W4320458946 hasConceptScore W4320458946C12089564 @default.
- W4320458946 hasConceptScore W4320458946C12520029 @default.
- W4320458946 hasConceptScore W4320458946C127413603 @default.
- W4320458946 hasConceptScore W4320458946C134306372 @default.
- W4320458946 hasConceptScore W4320458946C14196021 @default.
- W4320458946 hasConceptScore W4320458946C165700671 @default.
- W4320458946 hasConceptScore W4320458946C195065555 @default.
- W4320458946 hasConceptScore W4320458946C199422724 @default.
- W4320458946 hasConceptScore W4320458946C202444582 @default.
- W4320458946 hasConceptScore W4320458946C2524010 @default.
- W4320458946 hasConceptScore W4320458946C33923547 @default.
- W4320458946 hasConceptScore W4320458946C37914503 @default.
- W4320458946 hasConceptScore W4320458946C42448751 @default.
- W4320458946 hasConceptScore W4320458946C529865628 @default.
- W4320458946 hasConceptScore W4320458946C57691317 @default.
- W4320458946 hasConceptScore W4320458946C62354387 @default.
- W4320458946 hasConceptScore W4320458946C78519656 @default.
- W4320458946 hasConceptScore W4320458946C98214594 @default.
- W4320458946 hasLocation W43204589461 @default.
- W4320458946 hasOpenAccess W4320458946 @default.
- W4320458946 hasPrimaryLocation W43204589461 @default.
- W4320458946 hasRelatedWork W1980906331 @default.
- W4320458946 hasRelatedWork W2046001483 @default.
- W4320458946 hasRelatedWork W2234959426 @default.
- W4320458946 hasRelatedWork W2250147569 @default.
- W4320458946 hasRelatedWork W2759874957 @default.
- W4320458946 hasRelatedWork W2951379734 @default.
- W4320458946 hasRelatedWork W4226170179 @default.
- W4320458946 hasRelatedWork W4301627581 @default.
- W4320458946 hasRelatedWork W4301859862 @default.
- W4320458946 hasRelatedWork W4301961580 @default.
- W4320458946 isParatext "false" @default.
- W4320458946 isRetracted "false" @default.
- W4320458946 workType "article" @default.