学术活动

学术活动

A Eigenvalue estimates of the Paneitz operator for compact submanifolds

主讲人:李海中 教授(清华大学)

时间: 11月25日(周五)16:00-17:00

地点:数学科学学院 311 教室

备注:Abstract: For a compact 4-dimensional Riemannian manifold, in 1983, S. Paneitz introduced a fourth order operator,so called Paneitz operator. In 1987, T.P. Branson generalized this operator to compact Riemannian manifolds of the higher dimension, which are also called Paneitz operator (or Branson-Paneitz operator). In this talk, we report our recent results about the estimates of the eigenvalue of the Paneitz operator for compact submanifolds in terms of the mean curvature and $Q$ curvature.

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