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arXiv · 0804.4005

Numerical Algorithms for Finding Balanced Metrics on Vector Bundles

Reza Seyyedali
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Abstract

In \cite{D3}, Donaldson defines a dynamical system on the space of Fubini-Study metrics on a polarized compact Kähler manifold. Sano proved that if there exists a balanced metric for the polarization, then this dynamical system always converges to the balanced metric (\cite{S}). In \cite{DKLR}, Douglas, et. al., conjecture that the same holds in the case of vector bundles. In this paper, we give an affirmative answer to their conjecture.

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Reza Seyyedali. 2008-12-06. Numerical Algorithms for Finding Balanced Metrics on Vector Bundles. https://arxiv.org/abs/0804.4005

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