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

主讲人 Speaker:Prof.Ni Lei(UCSD)
时间 Time:Thursday, 2 June, 11:00 am-12:00 pm
地点 Venue:Zoom Meeting ID: 271 534 5558 Passcode: YMSC


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.