Collapsing fibres under Kähler Ricci flow on Hirzebruch manifolds

In this article we study the Kähler Ricci flow on a class of ℂℙ¹ bundles over ℂℙⁿ⁻¹ known as Hirzebruch manifolds. These are defined by ℙ(Hⁱ⊕ℂ-1), where H is the canonical line bundle, ℂ is the trivial line bundle, and n,i∈ℕ. We follow the work by Song and Weinkove, who study solutions to the Kähle...

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Bibliographic Details
Main Author: Dixon, Kael
Language:English
Published: University of British Columbia 2010
Online Access:http://hdl.handle.net/2429/27806