Kaehlerian阶约化
Kaehlerian reduction in steps
摘要：
本文研究了紧李群K在Kaehler流形上的Hamilton作用，并推广到复化群K^C的全纯作用.对于K的闭正规子群L，我们证明了关于L的Kaehler约化是一个分层Hamilton Kaehler K^C/L^C-空间，其关于K/L的Kaehler约化自然同构于原流形关于K的Kaehler约化.
英文摘要：
We study Hamiltonian actions of compact Lie groups K on Kaehler manifolds which extend to a holomorphic action of the complexified group K^C. For a closed normal subgroup L of K we show that the Kaehlerian reduction with respect to L is a stratified Hamiltonian Kaehler K^C/L^C-space whose Kaehlerian reduction with respect to K/L is naturally isomorphic to the Kaehlerian reduction of the original manifold with respect to K.
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