Journal of the Ramanujan Mathematical Society

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Flat GL(2,C)-Bundles over Compact Kahler Manifolds


Affiliations
1 Dept. of Mathematics & Statistics, University of Hyderabad, Central University, P.O. Hyderabad-500134, India
     

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In this paper, we Characterize the set Fl(2, C) of all isomorphism classes of flat GL(2,C) - bundles over a compact Kahler manifold. We prove that the parametrizing space for them is a preanalytic variety and we study the V" - bundle structure of them over a V- manifold. In addition to that, we discuss the non-Hausdorff nature of Fl(2,C) and the structure of each component-indecomposable, regular decomposable and singular decomposable- of it.

Keywords

Kahler Manifold, Complex Torus, Fibre Bundle, Holomorphic Connection. AMS Classification: 1985 Mathematics Subject Classification 53C.
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  • Flat GL(2,C)-Bundles over Compact Kahler Manifolds

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Authors

K. S. Subramanian Moosath
Dept. of Mathematics & Statistics, University of Hyderabad, Central University, P.O. Hyderabad-500134, India

Abstract


In this paper, we Characterize the set Fl(2, C) of all isomorphism classes of flat GL(2,C) - bundles over a compact Kahler manifold. We prove that the parametrizing space for them is a preanalytic variety and we study the V" - bundle structure of them over a V- manifold. In addition to that, we discuss the non-Hausdorff nature of Fl(2,C) and the structure of each component-indecomposable, regular decomposable and singular decomposable- of it.

Keywords


Kahler Manifold, Complex Torus, Fibre Bundle, Holomorphic Connection. AMS Classification: 1985 Mathematics Subject Classification 53C.