Holomorphic vector fields and perturbed extremal Kähler metrics

Akito Futaki

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Holomorphic vector fields and perturbed extremal Kähler metrics

Akito Futaki

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Abstract

We prove a theorem which asserts that the Lie algebra of all holomorphic vector fields on a compact Kähler manifold with a perturbed extremal metric has the structure similar to the case of an unperturbed extremal Kähler metric proved by Calabi.

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BibTeX RIS

Akito Futaki. 2007-02-24. Holomorphic vector fields and perturbed extremal Kähler metrics. https://arxiv.org/abs/math/0702721

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