Cohomologies of Harmonic Bundles on Quasi-Compact Kähler manifolds
نویسنده
چکیده
If M is compact Kählerian and ρ is semi-simple, that is that the Zariski closure of the image of ρ in GL(n,C) is semi-simple 1, by means of a result of Donaldson (in the case of Riemann surfaces, [5]) and Corlette (in the higher dimensional case, [4]), there exists a unique harmonic metric u on V, equivalently, a ρ-equivariant harmonic map from the universal covering M̃ of M into Pn := GL(n,C)/U(n)– the set of positive definite Hermitian symmetric matrices of order n.
منابع مشابه
Harmonic bundles on quasi-compact Kähler manifolds
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