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The geometry of k-Ricci curvature and a Monge-Ampere equation

来源: 06-02

时间:2022/6/2 11:00 am-12:00 pm

地点:Zoom Meeting ID: 271 534 5558 Passcode: YMSC

组织者:Prof.Ni Lei

主讲人:Prof.Ni Lei

Abstract:

The k-Ricci curvature interpolates between the Ricci curvature and holomorphic sectional curvature. For the positive case, a recent result asserts that the compact Kaehler manifolds with positive k-Ricci are projective and rationally connected. This generalizes the previous results of Campana, Kollar-Miyaoka-Mori for the Fano case and the Heirer-Wong and Yang for holomorphic sectional curvature case. For the negative case, all compact Kaehler manifolds with negative k-Ricci admit a Kaehler-Einstein metric with negative scalar curvature.


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