Matches in SemOpenAlex for { <https://semopenalex.org/work/W3166631157> ?p ?o ?g. }
Showing items 1 to 63 of
63
with 100 items per page.
- W3166631157 abstract "This thesis details homeomorphism classi cation theorems for closed, simply connected, Riemannian 4-manifolds admitting an isometric circle action. We proceed by imposing progressively weaker curvature conditions, which results in a slight weakening of the classi cation. In particular, we consider positive, non-negative, and almost non-negative sectional curvature. For positive curvature, the homeomorphism classi cation is obtained by Hsiang and Kleiner in [24] and the equivariant di eomorphism classi cation by Grove and Searle in [18] and Grove and Wilking in [19]. For non-negative sectional curvature, we look to the independent work of Kleiner in his thesis [25], and Searle and Yang in [35] for the homeomorphism classi cation, which was then improved to a di eomorphism classi cation by work of Galaz-Garc a [13], and Grove and Wilking in [19]. For almost non-negative curvature, the recent work of Harvey and Searle in [22] gives the di eomorphism classi cation, which coincides with the classi cation for non-negatively curved manifolds. In fact, they show that almost non-negative curvature in this setting implies the existence of an S1-invariant metric of non-negative curvature." @default.
- W3166631157 created "2021-06-22" @default.
- W3166631157 creator A5066039836 @default.
- W3166631157 date "2020-05-01" @default.
- W3166631157 modified "2023-09-23" @default.
- W3166631157 title "Curvature and symmetries of closed four-manifolds with a lower curvature bound" @default.
- W3166631157 hasPublicationYear "2020" @default.
- W3166631157 type Work @default.
- W3166631157 sameAs 3166631157 @default.
- W3166631157 citedByCount "0" @default.
- W3166631157 crossrefType "dissertation" @default.
- W3166631157 hasAuthorship W3166631157A5066039836 @default.
- W3166631157 hasConcept C10728891 @default.
- W3166631157 hasConcept C114614502 @default.
- W3166631157 hasConcept C12520029 @default.
- W3166631157 hasConcept C171036898 @default.
- W3166631157 hasConcept C190470478 @default.
- W3166631157 hasConcept C195065555 @default.
- W3166631157 hasConcept C202444582 @default.
- W3166631157 hasConcept C2524010 @default.
- W3166631157 hasConcept C33923547 @default.
- W3166631157 hasConcept C37914503 @default.
- W3166631157 hasConcept C42448751 @default.
- W3166631157 hasConcept C96469262 @default.
- W3166631157 hasConceptScore W3166631157C10728891 @default.
- W3166631157 hasConceptScore W3166631157C114614502 @default.
- W3166631157 hasConceptScore W3166631157C12520029 @default.
- W3166631157 hasConceptScore W3166631157C171036898 @default.
- W3166631157 hasConceptScore W3166631157C190470478 @default.
- W3166631157 hasConceptScore W3166631157C195065555 @default.
- W3166631157 hasConceptScore W3166631157C202444582 @default.
- W3166631157 hasConceptScore W3166631157C2524010 @default.
- W3166631157 hasConceptScore W3166631157C33923547 @default.
- W3166631157 hasConceptScore W3166631157C37914503 @default.
- W3166631157 hasConceptScore W3166631157C42448751 @default.
- W3166631157 hasConceptScore W3166631157C96469262 @default.
- W3166631157 hasLocation W31666311571 @default.
- W3166631157 hasOpenAccess W3166631157 @default.
- W3166631157 hasPrimaryLocation W31666311571 @default.
- W3166631157 hasRelatedWork W1511740746 @default.
- W3166631157 hasRelatedWork W1661917055 @default.
- W3166631157 hasRelatedWork W1964983353 @default.
- W3166631157 hasRelatedWork W2024908347 @default.
- W3166631157 hasRelatedWork W2057794458 @default.
- W3166631157 hasRelatedWork W2062227254 @default.
- W3166631157 hasRelatedWork W2070157551 @default.
- W3166631157 hasRelatedWork W2122172735 @default.
- W3166631157 hasRelatedWork W2909842686 @default.
- W3166631157 hasRelatedWork W2949473305 @default.
- W3166631157 hasRelatedWork W2950289961 @default.
- W3166631157 hasRelatedWork W2951779844 @default.
- W3166631157 hasRelatedWork W2953353699 @default.
- W3166631157 hasRelatedWork W2962987441 @default.
- W3166631157 hasRelatedWork W2963126638 @default.
- W3166631157 hasRelatedWork W2964562590 @default.
- W3166631157 hasRelatedWork W2994751737 @default.
- W3166631157 hasRelatedWork W3084493617 @default.
- W3166631157 hasRelatedWork W3202496491 @default.
- W3166631157 hasRelatedWork W762335310 @default.
- W3166631157 isParatext "false" @default.
- W3166631157 isRetracted "false" @default.
- W3166631157 magId "3166631157" @default.
- W3166631157 workType "dissertation" @default.