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Shu-Cheng Chang

2012-03-16
13:30:00 - 14:30:00

308 , Mathematics Research Center Building (ori. New Math. Bldg.)

In 1996, S.-S. Chern and S.-Y. Ji proved a generalization of the Riemann mapping theorem: If Ω is a bounded simply connected domain in Cⁿ⁺¹ and its connected smooth boundary ∂Ω has a spherical CR structure, then it is biholomorphic to the unit ball and ∂Ω is the standard pseudohermitian (2n+1)- sphere. In this talk, we address the related problem via the CR Obata conjecture for the Kohn Laplacian in a closed spherical pseudohermitian (2n+1)-manifold. This is a joint work with C.-T. Wu.