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Subject 110.05.05(三)First eigenvalue estimates in pseudo-hermitian geometry
Date 2021-04-15
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講題:First eigenvalue estimates in pseudo-hermitian geometry
演講者:國立屏東大學應用數學系 吳進通教授
時間:110/05/05(三)下午2:00~3:00
地點:府城校區 格致樓C305室
摘要:In this talk, I will talk about how to get a sharp lower bound estimate for the first nonzero eigenvalue of the sub-Laplacian, Kohn Laplacian, Folland-Stein operator, weighted sub-Laplacian and weighted Kohn Laplacian on a closed strictly pseudo-convex CR (2n+1)-manifold. We also discuss the case when a sharp lower bound estimate of the sub-Laplacian, Kohn Laplacian, weighted sub-Laplacian or weighted Kohn Laplacian is achieved. It can be showed that such a manifold is the standard CR (2n+1)-sphere.

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