On dimension reduction in the Kähler-Ricci flow

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dc.creatorCao, Huai-Dong
dc.date2003-02-11
dc.date.accessioned2026-07-07T04:55:10Z
dc.date.available2026-07-07T04:55:10Z
dc.descriptionWe consider dimension reduction for solutions of the Kähler-Ricci flow with nonegative bisectional curvature. When the complex dimension $n=2$, we prove an optimal dimension reduction theorem for complete translating Kähler-Ricci solitons with nonnegative bisectional curvature. We also prove a general dimension reduction theorem for complete ancient solutions of the Kähler-Ricci flow with nonnegative bisectional curvature on noncompact complex manifolds under a finiteness assumption on the Chern number $c^n_1$.
dc.description15 pages, Latex
dc.identifierhttps://arxiv.org/abs/math/0302112
dc.identifierhttp://arxiv.org/abs/math/0302112
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66489
dc.subjectDifferential Geometry
dc.titleOn dimension reduction in the Kähler-Ricci flow
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