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Ricci Solitons Days in Pisa 2011

Orthogonal Bisectional Curvature and Kahler Solitons

speaker: Huy Nguyen (University of Warwick)

abstract: OBC is a condition introduced by Cao and Hamilton which generalizes bisectional curvature. Following Siu-Yau, we will describe an elliptic proof showing that a compact positive OBC Kahler manifold is biholomorphic to CPⁿ which compliments parabolic proofs by X.X. Chen and Wilking. Positive OBC is preserved by Kahler Ricci flow and also by Tian-Zhu Kahler Ricci flow with positive OBC will converge to the Kahler Ricci soliton, CP^n.

timetable:
Tue 5 Apr, 17:30 - 18:30, Aula Dini
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