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math.CV2001★ 1 cited
Deformation theory of five-dimensional CR structures and the Rumin complex
Takao Akahori, Peter M. Garfield, John M. Lee
We construct a versal family of deformations of CR structures in five dimensions, using a differential complex closely related to the differential form complex introduced by Rumin…
math.CV1996★ 3 cited
A mixed Hodge structure on a CR manifold
Takao Akahori
The purpose of this work is to propose a mixed Hodge structure over a CR manifold. As you know, for a CR manifold, Kohn-Rossi cohomology is naturally introduced. However, the relat…