Reductive group actions on Kähler manifolds

Eugene Lerman; Reyer Sjamaar

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arXiv · alg-geom/9210006

Reductive group actions on Kähler manifolds

Eugene Lerman·Reyer Sjamaar

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Abstract

We prove that the action of a reductive complex Lie group on a Kähler manifold can be linearized in the neighbourhood of a fixed point, provided that the restriction of the action to some compact real form of the group is Hamiltonian with respect to the Kähler form.

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BibTeX RIS

Eugene Lerman, Reyer Sjamaar. 1992-10-15. Reductive group actions on Kähler manifolds. https://arxiv.org/abs/alg-geom/9210006

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