Matches in SemOpenAlex for { <https://semopenalex.org/work/W4308199599> ?p ?o ?g. }
Showing items 1 to 70 of
70
with 100 items per page.
- W4308199599 endingPage "1528" @default.
- W4308199599 startingPage "1483" @default.
- W4308199599 abstract "A theorem of Anderson and Bando-Kasue-Nakajima from 1989 states that to compactify the set of normalized Einstein metrics with a lower bound on the volume and an upper bound on the diameter in the Gromov-Hausdorff sense, one has to add singular spaces called Einstein orbifolds, and the singularities form as blow-downs of Ricci-flat ALE spaces. This raises some natural issues, in particular: can all Einstein orbifolds be Gromov-Hausdorff limits of smooth Einstein manifolds? Can we describe more precisely the smooth Einstein metrics close to a given singular one? In this first paper, we prove that Einstein manifolds sufficiently close, in the Gromov-Hausdorff sense, to an orbifold are actually close to a gluing of model spaces in suitable weighted Holder spaces. The proof consists in controlling the metric in the neck regions thanks to the construction of optimal coordinates. This refined convergence is the cornerstone of our subsequent work on the degeneration of Einstein metrics or, equivalently, on the desingularization of Einstein orbifolds in which we show that all Einstein metrics Gromov-Hausdorff close to an Einstein orbifold are the result of a gluing-perturbation procedure. This procedure turns out to be generally obstructed, and this provides the first obstructions to a Gromov-Hausdorff desingularization of Einstein orbifolds." @default.
- W4308199599 created "2022-11-09" @default.
- W4308199599 creator A5003670780 @default.
- W4308199599 date "2022-10-28" @default.
- W4308199599 modified "2023-09-28" @default.
- W4308199599 title "Noncollapsed degeneration of Einstein 4–manifolds, I" @default.
- W4308199599 cites W1516937017 @default.
- W4308199599 cites W1570658674 @default.
- W4308199599 cites W166823485 @default.
- W4308199599 cites W1949785703 @default.
- W4308199599 cites W2000033405 @default.
- W4308199599 cites W2028338587 @default.
- W4308199599 cites W2039948096 @default.
- W4308199599 cites W2061814576 @default.
- W4308199599 cites W2069564644 @default.
- W4308199599 cites W2081028496 @default.
- W4308199599 cites W2088236749 @default.
- W4308199599 cites W3104123907 @default.
- W4308199599 cites W4240542879 @default.
- W4308199599 cites W4242522601 @default.
- W4308199599 cites W4245647960 @default.
- W4308199599 cites W4246697835 @default.
- W4308199599 cites W617426540 @default.
- W4308199599 doi "https://doi.org/10.2140/gt.2022.26.1483" @default.
- W4308199599 hasPublicationYear "2022" @default.
- W4308199599 type Work @default.
- W4308199599 citedByCount "1" @default.
- W4308199599 countsByYear W43081995992023 @default.
- W4308199599 crossrefType "journal-article" @default.
- W4308199599 hasAuthorship W4308199599A5003670780 @default.
- W4308199599 hasBestOaLocation W43081995992 @default.
- W4308199599 hasConcept C12843 @default.
- W4308199599 hasConcept C134306372 @default.
- W4308199599 hasConcept C143782950 @default.
- W4308199599 hasConcept C14408790 @default.
- W4308199599 hasConcept C146846114 @default.
- W4308199599 hasConcept C191399826 @default.
- W4308199599 hasConcept C202444582 @default.
- W4308199599 hasConcept C33923547 @default.
- W4308199599 hasConcept C37914503 @default.
- W4308199599 hasConceptScore W4308199599C12843 @default.
- W4308199599 hasConceptScore W4308199599C134306372 @default.
- W4308199599 hasConceptScore W4308199599C143782950 @default.
- W4308199599 hasConceptScore W4308199599C14408790 @default.
- W4308199599 hasConceptScore W4308199599C146846114 @default.
- W4308199599 hasConceptScore W4308199599C191399826 @default.
- W4308199599 hasConceptScore W4308199599C202444582 @default.
- W4308199599 hasConceptScore W4308199599C33923547 @default.
- W4308199599 hasConceptScore W4308199599C37914503 @default.
- W4308199599 hasIssue "4" @default.
- W4308199599 hasLocation W43081995991 @default.
- W4308199599 hasLocation W43081995992 @default.
- W4308199599 hasOpenAccess W4308199599 @default.
- W4308199599 hasPrimaryLocation W43081995991 @default.
- W4308199599 hasRelatedWork W1562517023 @default.
- W4308199599 hasRelatedWork W1989122576 @default.
- W4308199599 hasRelatedWork W2011384185 @default.
- W4308199599 hasRelatedWork W2085985792 @default.
- W4308199599 hasRelatedWork W2953016015 @default.
- W4308199599 hasRelatedWork W3026358768 @default.
- W4308199599 hasRelatedWork W3171063458 @default.
- W4308199599 hasRelatedWork W3171944911 @default.
- W4308199599 hasRelatedWork W4308199599 @default.
- W4308199599 hasRelatedWork W4308206177 @default.
- W4308199599 hasVolume "26" @default.
- W4308199599 isParatext "false" @default.
- W4308199599 isRetracted "false" @default.
- W4308199599 workType "article" @default.