Hermitian Curvature Flow

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dc.creatorStreets, Jeffrey
dc.creatorTian, Gang
dc.date2008-04-25
dc.date2009-01-26
dc.date.accessioned2026-07-07T12:34:01Z
dc.date.available2026-07-07T12:34:01Z
dc.descriptionWe define a functional for Hermitian metrics using the curvature of the Chern connection. The Euler-Lagrange equation for this functional is an elliptic equation for Hermitian metrics. Solutions to this equation are related to Kähler-Einstein metrics, and are automatically Kähler-Einstein under certain conditions. Given this, a natural parabolic flow equation arises. We prove short time existence and regularity results for this flow, as well as stability for the flow near Kähler-Einstein metrics with negative or zero first Chern class.
dc.description34 pages
dc.identifierhttps://arxiv.org/abs/0804.4109
dc.identifierhttp://arxiv.org/abs/0804.4109
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217277
dc.subjectDifferential Geometry
dc.titleHermitian Curvature Flow
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