The geometry of weakly selfdual Kahler surfaces

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dc.creatorApostolov, Vestislav
dc.creatorCalderbank, David M. J.
dc.creatorGauduchon, Paul
dc.date2001-04-25
dc.date2001-05-16
dc.date.accessioned2026-07-07T04:41:27Z
dc.date.available2026-07-07T04:41:27Z
dc.descriptionWe study Kahler surfaces with harmonic anti-selfdual Weyl tensor. We provide an explicit local description, which we use to obtain the complete classification in the compact case. We give new examples of extremal Kahler metrics, including Kahler-Einstein metrics and conformally Einstein Kahler metrics. We also extend some of our results to almost Kahler 4-manifolds, providing new examples of Ricci-flat almost Kahler metrics which are not Kahler.
dc.descriptionLaTeX, 38 pages; two references added
dc.identifierhttps://arxiv.org/abs/math/0104233
dc.identifierhttp://arxiv.org/abs/math/0104233
dc.identifierCompositio Math. 135 (2003) 279-322
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61361
dc.subjectDifferential Geometry
dc.subjectAlgebraic Geometry
dc.subject53C55; 53C25, 53B35
dc.titleThe geometry of weakly selfdual Kahler surfaces
dc.typetext

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