Journal of Symplectic Geometry

Volume 6 (2008)

Number 2

Holomorphic vector fields and perturbed extremal Kähler metrics

Pages: 127 – 138



Akito Futaki


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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