Matches in SemOpenAlex for { <https://semopenalex.org/work/W2150486569> ?p ?o ?g. }
Showing items 1 to 93 of
93
with 100 items per page.
- W2150486569 endingPage "2172" @default.
- W2150486569 startingPage "2123" @default.
- W2150486569 abstract "We introduce certain spherically symmetric singular Ricci solitons and study their stability under the Ricci flow from a dynamical PDE point of view. The solitons in question exist for all dimensions n + 1 ≥ 3, and all have a point singularity where the curvature blows up; their evolution under the Ricci flow is in sharp contrast to the evolution of their smooth counterparts. In particular, the family of diffeomorphisms associated with the Ricci flow “pushes away” from the singularity causing the evolving soliton to open up immediately becoming an incomplete (but non-singular) metric. The main objective of this paper is to study the local-in time stability of this dynamical evolution, under spherically symmetric perturbations of the singular initial metric. We prove a local well-posedness result for the Ricci flow in suitably weighted Sobolev spaces, which in particular implies that the “opening up” of the singularity persists for the perturbations as well." @default.
- W2150486569 created "2016-06-24" @default.
- W2150486569 creator A5021776170 @default.
- W2150486569 creator A5067661527 @default.
- W2150486569 creator A5079230801 @default.
- W2150486569 date "2015-08-18" @default.
- W2150486569 modified "2023-10-14" @default.
- W2150486569 title "Singular Ricci Solitons and Their Stability under the Ricci Flow" @default.
- W2150486569 cites W2021062328 @default.
- W2150486569 cites W2028932254 @default.
- W2150486569 cites W2040052719 @default.
- W2150486569 cites W2061112769 @default.
- W2150486569 cites W2074268430 @default.
- W2150486569 cites W2076239098 @default.
- W2150486569 cites W2316114213 @default.
- W2150486569 cites W2484400708 @default.
- W2150486569 cites W2963315202 @default.
- W2150486569 cites W2963479749 @default.
- W2150486569 cites W2964121626 @default.
- W2150486569 cites W4234933822 @default.
- W2150486569 doi "https://doi.org/10.1080/03605302.2015.1081609" @default.
- W2150486569 hasPublicationYear "2015" @default.
- W2150486569 type Work @default.
- W2150486569 sameAs 2150486569 @default.
- W2150486569 citedByCount "5" @default.
- W2150486569 countsByYear W21504865692016 @default.
- W2150486569 countsByYear W21504865692018 @default.
- W2150486569 countsByYear W21504865692022 @default.
- W2150486569 crossrefType "journal-article" @default.
- W2150486569 hasAuthorship W2150486569A5021776170 @default.
- W2150486569 hasAuthorship W2150486569A5067661527 @default.
- W2150486569 hasAuthorship W2150486569A5079230801 @default.
- W2150486569 hasBestOaLocation W21504865692 @default.
- W2150486569 hasConcept C112972136 @default.
- W2150486569 hasConcept C119857082 @default.
- W2150486569 hasConcept C12089564 @default.
- W2150486569 hasConcept C134306372 @default.
- W2150486569 hasConcept C148729565 @default.
- W2150486569 hasConcept C16171025 @default.
- W2150486569 hasConcept C162324750 @default.
- W2150486569 hasConcept C176217482 @default.
- W2150486569 hasConcept C195065555 @default.
- W2150486569 hasConcept C200917960 @default.
- W2150486569 hasConcept C202444582 @default.
- W2150486569 hasConcept C21547014 @default.
- W2150486569 hasConcept C2524010 @default.
- W2150486569 hasConcept C33923547 @default.
- W2150486569 hasConcept C37914503 @default.
- W2150486569 hasConcept C38349280 @default.
- W2150486569 hasConcept C41008148 @default.
- W2150486569 hasConcept C99730327 @default.
- W2150486569 hasConceptScore W2150486569C112972136 @default.
- W2150486569 hasConceptScore W2150486569C119857082 @default.
- W2150486569 hasConceptScore W2150486569C12089564 @default.
- W2150486569 hasConceptScore W2150486569C134306372 @default.
- W2150486569 hasConceptScore W2150486569C148729565 @default.
- W2150486569 hasConceptScore W2150486569C16171025 @default.
- W2150486569 hasConceptScore W2150486569C162324750 @default.
- W2150486569 hasConceptScore W2150486569C176217482 @default.
- W2150486569 hasConceptScore W2150486569C195065555 @default.
- W2150486569 hasConceptScore W2150486569C200917960 @default.
- W2150486569 hasConceptScore W2150486569C202444582 @default.
- W2150486569 hasConceptScore W2150486569C21547014 @default.
- W2150486569 hasConceptScore W2150486569C2524010 @default.
- W2150486569 hasConceptScore W2150486569C33923547 @default.
- W2150486569 hasConceptScore W2150486569C37914503 @default.
- W2150486569 hasConceptScore W2150486569C38349280 @default.
- W2150486569 hasConceptScore W2150486569C41008148 @default.
- W2150486569 hasConceptScore W2150486569C99730327 @default.
- W2150486569 hasFunder F4320306151 @default.
- W2150486569 hasFunder F4320334593 @default.
- W2150486569 hasIssue "12" @default.
- W2150486569 hasLocation W21504865691 @default.
- W2150486569 hasLocation W21504865692 @default.
- W2150486569 hasOpenAccess W2150486569 @default.
- W2150486569 hasPrimaryLocation W21504865691 @default.
- W2150486569 hasRelatedWork W1988276709 @default.
- W2150486569 hasRelatedWork W2027398948 @default.
- W2150486569 hasRelatedWork W2150486569 @default.
- W2150486569 hasRelatedWork W2607801232 @default.
- W2150486569 hasRelatedWork W2951668686 @default.
- W2150486569 hasRelatedWork W2953060315 @default.
- W2150486569 hasRelatedWork W2963794166 @default.
- W2150486569 hasRelatedWork W3204752797 @default.
- W2150486569 hasRelatedWork W4294351718 @default.
- W2150486569 hasRelatedWork W4300623766 @default.
- W2150486569 hasVolume "40" @default.
- W2150486569 isParatext "false" @default.
- W2150486569 isRetracted "false" @default.
- W2150486569 magId "2150486569" @default.
- W2150486569 workType "article" @default.