An affine sphere equation associated to Einstein toric surfaces

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dc.creatorMabuchi, Toshiki
dc.date2007-10-01
dc.date.accessioned2026-07-07T08:33:15Z
dc.date.available2026-07-07T08:33:15Z
dc.descriptionAs seen in the works of Calabi, Cheng-Yau and Loftin, affine sphere equations have a close relationship with Kaehler-Einstein metrics. The main purpose of this note is to show that an equation analogous to those of hyperbolic affine spheres arises naturally from Kaehler-Einstein metrics on Einstein toric surfaces. The case for the remaining toric surfaces with Kaehler-Ricci solitons will also be discussed.
dc.descriptionto appear in the Proceedings of ICCM 2007, published by Higher Educational Press
dc.identifierhttps://arxiv.org/abs/0710.0218
dc.identifierhttp://arxiv.org/abs/0710.0218
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139062
dc.subjectDifferential Geometry
dc.subjectComplex Variables
dc.subject32Q20; 53A15; 14M25
dc.titleAn affine sphere equation associated to Einstein toric surfaces
dc.typetext

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