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Moment maps associated with holomorphic isometric actions on Kähler manifolds

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Abstract

We give a new formula which writes down the moment map for holomorphic isometric action on a Kähler manifold using the motion of a charged particle when the action of is Hamiltonian.

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Correspondence to Osamu Ikawa.

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The author was partially supported by the Grant-in-Aid for Scientific Research (# 22540108), Japan Society for Promotion of Science.

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Ikawa, O. Moment maps associated with holomorphic isometric actions on Kähler manifolds. J. Geom. 103, 275–284 (2012). https://doi.org/10.1007/s00022-012-0131-5

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  • DOI: https://doi.org/10.1007/s00022-012-0131-5

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