The Hamiltonian dynamics over real hypersurfaces in Kaehler manifolds |
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Authors: | Takao Akahori |
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Institution: | Department of Mathematics, School of Science, University of Hyogo, Himeji, Hyogo, Japan |
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Abstract: | Let X be a Kaehler manifold with complex dimension n. Let ωX be its Kaehler form. Let M 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. |
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Keywords: | CR geometry Kohn-Rossi cohomology Hamilton mechanism |
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