Abstract :
Let X be a Kaehler manifold with complex dimension n. Let ωX be its Kaehler form. LetM be a strongly
pseudo convex real hypersurface in X. For this hypersurface, the deformation theory of CR structures is successfully
developed. And we find that H1(M, T
) (the T
-valued Kohn–Rossi cohomology) is the Zariski
tangent space of the versal family. In this paper, the geometrical meaning of H1(M,O) is studied, and we
propose to study displacements of the real hypersurface, which preserves the type of the differential form,
ωX, over CR structures, on M, infinitesimally.
© 2005 Elsevier Inc. All rights reserved
