题目: Finite total $Q$-curvature on a locally conformally flat manifold

报告人: WANG Yi (Johns Hopkins University)

时间: July 5th, 2:00-3:00

地点: 管研楼1518

摘要: In this talk, we will discuss locally conformally flat manifolds with finite total curvature. We prove that for such a manifold, the integral of the $Q$-curvature equals an integral multiple of a dimensional constant. This shows a new aspect of the $Q$-curvature on noncompact complete manifolds. It provides further evidence that $Q$-curvature controls geometry as the Gaussian curvature does in two dimension on locally conformally flat manifolds. This is joint work with Zhiqin Lu.

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