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Q-curvature and volume comparison theorems
时间  Datetime
2019-07-26 10:00 — 11:00 
地点  Venue
Large Conference Room(706)
报告人  Speaker
袁伟
单位  Affiliation
中山大学
邀请人  Host
来米加
报告摘要  Abstract

Q-curvatre is a natural generalization of Gaussian curvature on surfaces. Originally, it was defined only for 4-manifolds. Due to works of Paneitz and Branson, this definition can be extended to arbitrary manifolds with dimension at least three from analytical aspects. In this talk, we investigate Q-curvature from a geometric aspect. In particular, we present a volume comparison theorem with respect to Q-curvature for strictly stable positive Einstein manifolds. This is a joint work with Huang Yen-Chang and Lin Yueh-Ju.