Matches in SemOpenAlex for { <https://semopenalex.org/work/W4311309986> ?p ?o ?g. }
Showing items 1 to 82 of
82
with 100 items per page.
- W4311309986 abstract "Let $(M,g)$ be a complete connected $n$-dimensional Riemannian spin manifold without boundary such that the scalar curvature satisfies $R_ggeq -n(n-1)$ and $mathcal{E}subset M$ be an asymptotically hyperbolic end, we prove that the mass functional of the end $mathcal{E}$ is timelike future-directed or zero. Moreover, it vanishes if and only if $(M,g)$ is isometric to the hyperbolic space. We also consider the mass of an asymptotically hyperbolic manifold with compact boundary, we prove the mass is timelike future-directed if the mean curvature of the boundary is bounded from below by a function defined using distance estimates. As an application, the mass is timelike future-directed if the mean curvature of the boundary is bounded from below by $-(n-1)$ or the scalar curvature satisfies $R_ggeq (-1+kappa)n(n-1)$ for any positive constant $kappa$ less than one." @default.
- W4311309986 created "2022-12-25" @default.
- W4311309986 creator A5019411265 @default.
- W4311309986 creator A5037660606 @default.
- W4311309986 date "2022-12-01" @default.
- W4311309986 modified "2023-09-29" @default.
- W4311309986 title "The mass of an asymptotically hyperbolic end and distance estimates" @default.
- W4311309986 cites W1498090724 @default.
- W4311309986 cites W1968413948 @default.
- W4311309986 cites W1984383823 @default.
- W4311309986 cites W2012486996 @default.
- W4311309986 cites W2013506344 @default.
- W4311309986 cites W2028845750 @default.
- W4311309986 cites W2050351112 @default.
- W4311309986 cites W2050805923 @default.
- W4311309986 cites W2082389893 @default.
- W4311309986 cites W2085967245 @default.
- W4311309986 cites W2103597054 @default.
- W4311309986 cites W2105973581 @default.
- W4311309986 cites W2160101334 @default.
- W4311309986 cites W2482206003 @default.
- W4311309986 cites W3087879475 @default.
- W4311309986 cites W3100141172 @default.
- W4311309986 cites W3104922414 @default.
- W4311309986 cites W3124247482 @default.
- W4311309986 doi "https://doi.org/10.1063/5.0121452" @default.
- W4311309986 hasPublicationYear "2022" @default.
- W4311309986 type Work @default.
- W4311309986 citedByCount "0" @default.
- W4311309986 crossrefType "journal-article" @default.
- W4311309986 hasAuthorship W4311309986A5019411265 @default.
- W4311309986 hasAuthorship W4311309986A5037660606 @default.
- W4311309986 hasBestOaLocation W43113099862 @default.
- W4311309986 hasConcept C12520029 @default.
- W4311309986 hasConcept C134306372 @default.
- W4311309986 hasConcept C175017881 @default.
- W4311309986 hasConcept C195065555 @default.
- W4311309986 hasConcept C2524010 @default.
- W4311309986 hasConcept C2779593128 @default.
- W4311309986 hasConcept C33923547 @default.
- W4311309986 hasConcept C34388435 @default.
- W4311309986 hasConcept C37914503 @default.
- W4311309986 hasConcept C57691317 @default.
- W4311309986 hasConcept C62354387 @default.
- W4311309986 hasConcept C70984080 @default.
- W4311309986 hasConcept C83677898 @default.
- W4311309986 hasConcept C92047909 @default.
- W4311309986 hasConceptScore W4311309986C12520029 @default.
- W4311309986 hasConceptScore W4311309986C134306372 @default.
- W4311309986 hasConceptScore W4311309986C175017881 @default.
- W4311309986 hasConceptScore W4311309986C195065555 @default.
- W4311309986 hasConceptScore W4311309986C2524010 @default.
- W4311309986 hasConceptScore W4311309986C2779593128 @default.
- W4311309986 hasConceptScore W4311309986C33923547 @default.
- W4311309986 hasConceptScore W4311309986C34388435 @default.
- W4311309986 hasConceptScore W4311309986C37914503 @default.
- W4311309986 hasConceptScore W4311309986C57691317 @default.
- W4311309986 hasConceptScore W4311309986C62354387 @default.
- W4311309986 hasConceptScore W4311309986C70984080 @default.
- W4311309986 hasConceptScore W4311309986C83677898 @default.
- W4311309986 hasConceptScore W4311309986C92047909 @default.
- W4311309986 hasFunder F4320321001 @default.
- W4311309986 hasFunder F4320323172 @default.
- W4311309986 hasIssue "12" @default.
- W4311309986 hasLocation W43113099861 @default.
- W4311309986 hasLocation W43113099862 @default.
- W4311309986 hasOpenAccess W4311309986 @default.
- W4311309986 hasPrimaryLocation W43113099861 @default.
- W4311309986 hasRelatedWork W1805456114 @default.
- W4311309986 hasRelatedWork W2020991629 @default.
- W4311309986 hasRelatedWork W2912095383 @default.
- W4311309986 hasRelatedWork W297683736 @default.
- W4311309986 hasRelatedWork W2994231503 @default.
- W4311309986 hasRelatedWork W2999390632 @default.
- W4311309986 hasRelatedWork W3105404375 @default.
- W4311309986 hasRelatedWork W4287205552 @default.
- W4311309986 hasRelatedWork W4299321076 @default.
- W4311309986 hasRelatedWork W4311309986 @default.
- W4311309986 hasVolume "63" @default.
- W4311309986 isParatext "false" @default.
- W4311309986 isRetracted "false" @default.
- W4311309986 workType "article" @default.