Balanced metrics on vector bundles and polarized manifolds

We consider a notion of balanced metrics for triples (X, L, E) which depend on a parameter alpha, where X is a smooth complex manifold with an ample line bundle L and E is a holomorphic vector bundle over X. For generic choice of alpha, we prove that the limit of a convergent sequence of balanced metrics leads to a Hermitian-Einstein metric on E and a constant scalar curvature Kahler metric in c(1)(L). For special values of alpha, limits of balanced metrics are solutions of a system of coupled equations relating a Hermitian-Einstein metric on E and a Kahler metric in c(1)(L).


Published in:
Proceedings Of The London Mathematical Society, 106, 1143-1156
Year:
2013
Publisher:
London, Oxford University Press
ISSN:
0024-6115
Laboratories:




 Record created 2013-10-01, last modified 2018-03-17


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