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math.DG2020★ 3 cited
The -Operator and Real Holomorphic Vector Fields
Friedrich Haslinger, Duong Ngoc Son
Let be a Hermitian manifold and a smooth weight function on . The -complex on weighted Bergman spaces of holomorphic -for…
math.DG2013★ 20 cited
A new characterization of the CR shpere and the sharp eigenvalue estimate for the Kohn Laplacian
Song-Ying Li, Duong Ngoc Son, Xiaodong Wang
Motivated by a sharp eigenvalue estimate for the Kohn Laplacian, we prove a theorem that characterizes the CR sphere in terms of the existence of a non-trivial complex-valued funct…