Classification Theorem for a Class of Flat Connections and Representations of Kahler Groups

Details Classification Theorem for a Class of Flat Connections and Representations of Kahler Groups Classification Theorem for a Class of Flat Connections and Representations of Kahler Groups

1999-02-11

arxiv.org/abs/math/9902074v1

Mathematics

Differential Geometry

Scientific paper

The paper presents a classification theorem for the class of flat connections
with triangular (0,1)-components on a topologically trivial complex vector
bundle over a compact Kahler manifold. As a consequence we obtain several
results on the structure of K\"{a}hler groups, i.e., the fundamental groups of
compact Kahler manifolds.

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