Journal of the Ramanujan Mathematical Society

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Complex Conformal Connection of Kahler Manifold, Its Small Geodesic Balls and Generalized Chern Numbers


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1 University of Belgrade, Studentski trg 16, PP 550 11000-Belgrade, Serbia
     

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We consider the conditions for a Kahler manifold, in terms of Chern classes and the complex conharmonic curvature tensor (see [16]), to be biholomor-phically covered by the flat manifold or to be a complex space form. Some result is obtained for a small geodesic ball for the complex conformal connection D (see [17]).

Keywords

Complex Space Forms, The Complex Conharmonic Curvature Tensor, Chern Classes, Euler Characteristic, Hirzebruch Signature, The Arithmetic Genus.
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  • Complex Conformal Connection of Kahler Manifold, Its Small Geodesic Balls and Generalized Chern Numbers

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Authors

Neda Bokan
University of Belgrade, Studentski trg 16, PP 550 11000-Belgrade, Serbia

Abstract


We consider the conditions for a Kahler manifold, in terms of Chern classes and the complex conharmonic curvature tensor (see [16]), to be biholomor-phically covered by the flat manifold or to be a complex space form. Some result is obtained for a small geodesic ball for the complex conformal connection D (see [17]).

Keywords


Complex Space Forms, The Complex Conharmonic Curvature Tensor, Chern Classes, Euler Characteristic, Hirzebruch Signature, The Arithmetic Genus.