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Information × Registration Number 0304U004199, 0103U004232 , R & D reports Title Extinsic geometry of multidimensinal submanifolds popup.stage_title Дослідження в галузі комплексних многовидів, шарувань та розшарувань, алгебраїчної геометрії Head Borisenko A, Registration Date 26-03-2004 Organization Kharkov National University named after V.N.Karazin popup.description2 The main object of the investigation is geometric properties of convex surfaces of Hadamard manifolds. The aim of this work to give the geometric characteristics of the Lobachevskian space among Hadamard submunifolds, to extend the methods of the studing geometry real submanifolds to the class of the complex manifolds in the complex space, to prove the variation of Run-Vilms theorem for the surfaces of constant mean curvature, to find the propertiesc of geodesics on the tangent bundles over space forms, to study the properties of the homeomorphic submersions of the Keler- Einshtein. The methods of the research are the Riemannian geometry, the geometry of submanifolds, the geometry of bundle spaces, complex analysis. The theorem about the absolute Chern-Lashoph's curvature in the case of complex sutfaces in the complex space was generelized, characteristic of the Labachevskian space throuhg the extremal of this space in the class Hadamard munifolds was found, the Ruh -Vilms theorem was proved, a more precise the characteristic sof the projections of the geodesic tangent bundles was defined, the technicue Keller's continuations was developed. Product Description popup.authors popup.nrat_date 2020-04-02 Close