dc.date.accessioned | 2020-05-03T18:57:54Z | |
dc.date.available | 2020-05-03T18:57:54Z | |
dc.date.created | 2019-12-10T13:24:00Z | |
dc.date.issued | 2019 | |
dc.identifier.citation | Hultgren, Jakob . Coupled Kahler-Ricci solitons on Toric Fano Manifolds. Analysis & PDE. 2019, 12(8), 2067-2094 | |
dc.identifier.uri | http://hdl.handle.net/10852/75054 | |
dc.description.abstract | We prove a necessary and sufficient condition in terms of the barycenters of a collection of polytopes for existence of coupled Kähler–Einstein metrics on toric Fano manifolds. This confirms the toric case of a coupled version of the Yau–Tian–Donaldson conjecture and as a corollary we obtain an example of a coupled Kähler–Einstein metric on a manifold which does not admit Kähler–Einstein metrics. We also obtain a necessary and sufficient condition for existence of torus-invariant solutions to a system of soliton-type equations on toric Fano manifolds. | |
dc.language | EN | |
dc.publisher | Mathematical Sciences Publishers | |
dc.title | Coupled Kahler-Ricci solitons on Toric Fano Manifolds | |
dc.type | Journal article | |
dc.creator.author | Hultgren, Jakob | |
cristin.unitcode | 185,15,13,0 | |
cristin.unitname | Matematisk institutt | |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 1 | |
dc.identifier.cristin | 1758858 | |
dc.identifier.bibliographiccitation | info:ofi/fmt:kev:mtx:ctx&ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Analysis & PDE&rft.volume=12&rft.spage=2067&rft.date=2019 | |
dc.identifier.jtitle | Analysis & PDE | |
dc.identifier.volume | 12 | |
dc.identifier.issue | 8 | |
dc.identifier.startpage | 2067 | |
dc.identifier.endpage | 2094 | |
dc.identifier.doi | https://doi.org/10.2140/apde.2019.12.2067 | |
dc.identifier.urn | URN:NBN:no-78181 | |
dc.type.document | Tidsskriftartikkel | |
dc.type.peerreviewed | Peer reviewed | |
dc.source.issn | 2157-5045 | |
dc.identifier.fulltext | Fulltext https://www.duo.uio.no/bitstream/handle/10852/75054/2/Coupled_Kahler_Ricci_solitons_on_toric_Fano_manifolds.pdf | |
dc.type.version | AcceptedVersion | |