Journal of Symplectic Geometry
Volume 6 (2008)
Holomorphic vector fields and perturbed extremal Kähler metrics
Pages: 127 – 138
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.