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- W2019562876 abstract "In Some numerical results in complex differential geometry, Donaldson defines a dynamical system on the space of Fubini-Study metrics on a polarized compact Kahler manifold. Sano proved that if there exists a balanced metric for the polarization, then this dynamical system always converges to the balanced metric (Y. Sano, Numerical algorithm for finding balanced metrics). In Numerical solution to the Hermitian Yang-Mills equation on the Fermat quintic, 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." @default.
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- W2019562876 date "2009-01-01" @default.
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- W2019562876 title "Numerical Algorithm for Finding Balanced Metrics on Vector Bundles" @default.
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- W2019562876 doi "https://doi.org/10.4310/ajm.2009.v13.n3.a3" @default.
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