Matches in SemOpenAlex for { <https://semopenalex.org/work/W3048256775> ?p ?o ?g. }
Showing items 1 to 97 of
97
with 100 items per page.
- W3048256775 endingPage "2184" @default.
- W3048256775 startingPage "2132" @default.
- W3048256775 abstract "The main result of this paper gives a new construction of extremal Kähler metrics on the total space of certain holomorphic submersions, giving a vast generalisation and unification of results of Hong, Fine and others. The principal new ingredient is a novel geometric partial differential equation on such fibrations, which we call the optimal symplectic connection equation. We begin with a smooth fibration for which all fibres admit a constant scalar curvature Kähler metric. When the fibres admit automorphisms, such metrics are not unique in general, but rather are unique up to the action of the automorphism group of each fibre. We define an equation which, at least conjecturally, determines a canonical choice of constant scalar curvature Kähler metric on each fibre. When the fibration is a projective bundle, this equation specialises to asking that the hermitian metric determining the fibrewise Fubini‐Study metric is Hermite‐Einstein. Assuming the existence of an optimal symplectic connection and the existence of an appropriate twisted extremal metric on the base of the fibration, we show that the total space of the fibration itself admits an extremal metric for certain polarisations making the fibres small. © 2021 The Authors. Communications on Pure and Applied Mathematics published by Wiley Periodicals LLC." @default.
- W3048256775 created "2020-08-13" @default.
- W3048256775 creator A5020993951 @default.
- W3048256775 creator A5070389295 @default.
- W3048256775 date "2020-08-04" @default.
- W3048256775 modified "2023-10-03" @default.
- W3048256775 title "Optimal Symplectic Connections on Holomorphic Submersions" @default.
- W3048256775 cites W1493974510 @default.
- W3048256775 cites W1519449463 @default.
- W3048256775 cites W1574687786 @default.
- W3048256775 cites W1595246290 @default.
- W3048256775 cites W1747547793 @default.
- W3048256775 cites W1976502732 @default.
- W3048256775 cites W2001384852 @default.
- W3048256775 cites W2004761664 @default.
- W3048256775 cites W2034958095 @default.
- W3048256775 cites W2037857693 @default.
- W3048256775 cites W2040337876 @default.
- W3048256775 cites W2048484424 @default.
- W3048256775 cites W2064092124 @default.
- W3048256775 cites W2114425390 @default.
- W3048256775 cites W2116163539 @default.
- W3048256775 cites W2147029501 @default.
- W3048256775 cites W2149257300 @default.
- W3048256775 cites W2962696860 @default.
- W3048256775 cites W2963368645 @default.
- W3048256775 cites W2963489824 @default.
- W3048256775 cites W2963605234 @default.
- W3048256775 cites W2963669779 @default.
- W3048256775 cites W2963876493 @default.
- W3048256775 cites W2964291606 @default.
- W3048256775 cites W3098463990 @default.
- W3048256775 cites W3100654859 @default.
- W3048256775 cites W3101711318 @default.
- W3048256775 cites W4300651159 @default.
- W3048256775 cites W4302944401 @default.
- W3048256775 doi "https://doi.org/10.1002/cpa.21930" @default.
- W3048256775 hasPublicationYear "2020" @default.
- W3048256775 type Work @default.
- W3048256775 sameAs 3048256775 @default.
- W3048256775 citedByCount "4" @default.
- W3048256775 countsByYear W30482567752021 @default.
- W3048256775 countsByYear W30482567752023 @default.
- W3048256775 crossrefType "journal-article" @default.
- W3048256775 hasAuthorship W3048256775A5020993951 @default.
- W3048256775 hasAuthorship W3048256775A5070389295 @default.
- W3048256775 hasBestOaLocation W30482567752 @default.
- W3048256775 hasConcept C118712358 @default.
- W3048256775 hasConcept C12520029 @default.
- W3048256775 hasConcept C13355873 @default.
- W3048256775 hasConcept C134306372 @default.
- W3048256775 hasConcept C151527765 @default.
- W3048256775 hasConcept C168619227 @default.
- W3048256775 hasConcept C195065555 @default.
- W3048256775 hasConcept C202444582 @default.
- W3048256775 hasConcept C204575570 @default.
- W3048256775 hasConcept C2524010 @default.
- W3048256775 hasConcept C33923547 @default.
- W3048256775 hasConcept C54486226 @default.
- W3048256775 hasConcept C5961521 @default.
- W3048256775 hasConceptScore W3048256775C118712358 @default.
- W3048256775 hasConceptScore W3048256775C12520029 @default.
- W3048256775 hasConceptScore W3048256775C13355873 @default.
- W3048256775 hasConceptScore W3048256775C134306372 @default.
- W3048256775 hasConceptScore W3048256775C151527765 @default.
- W3048256775 hasConceptScore W3048256775C168619227 @default.
- W3048256775 hasConceptScore W3048256775C195065555 @default.
- W3048256775 hasConceptScore W3048256775C202444582 @default.
- W3048256775 hasConceptScore W3048256775C204575570 @default.
- W3048256775 hasConceptScore W3048256775C2524010 @default.
- W3048256775 hasConceptScore W3048256775C33923547 @default.
- W3048256775 hasConceptScore W3048256775C54486226 @default.
- W3048256775 hasConceptScore W3048256775C5961521 @default.
- W3048256775 hasIssue "10" @default.
- W3048256775 hasLocation W30482567751 @default.
- W3048256775 hasLocation W30482567752 @default.
- W3048256775 hasLocation W30482567753 @default.
- W3048256775 hasLocation W30482567754 @default.
- W3048256775 hasOpenAccess W3048256775 @default.
- W3048256775 hasPrimaryLocation W30482567751 @default.
- W3048256775 hasRelatedWork W2162997268 @default.
- W3048256775 hasRelatedWork W2209852122 @default.
- W3048256775 hasRelatedWork W2619842851 @default.
- W3048256775 hasRelatedWork W2949462952 @default.
- W3048256775 hasRelatedWork W2951435097 @default.
- W3048256775 hasRelatedWork W2980231599 @default.
- W3048256775 hasRelatedWork W4226371494 @default.
- W3048256775 hasRelatedWork W4287811621 @default.
- W3048256775 hasRelatedWork W4293342763 @default.
- W3048256775 hasRelatedWork W4317942051 @default.
- W3048256775 hasVolume "74" @default.
- W3048256775 isParatext "false" @default.
- W3048256775 isRetracted "false" @default.
- W3048256775 magId "3048256775" @default.
- W3048256775 workType "article" @default.