DIFFERENTIAL GEOMETRY OF TANGENTIAL HERMITIAN SURFACES

The work is concerned with the tangent separation above two-dimensional oriented Riemannian manifold provided with the canonic local conformal-Keler structure. The basic results of the investigation are new. It has been showh that the family of the local-conformal Keler structures is induced canonically on the tangential separation space above two-dimensional oriented Riemannian manifold. There by the extensive family of the principial-new examples of the local conformal-Keler Hermitian surfaces named the tangential Hermitian surfaces has been constructed. The necessary and sufficient conditions at performing of which the tangential Hermitian surface is the Hopf manifold, Eistein space, para-Keller manifold and complex spatial form correspondingly have been found. The obtained results can be used in the investigations on the Hermitian geometry and also at lecturing of the special cources at the higher schoolsAvailable from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio