Holomorphic vector fields and perturbed extremal Kähler metrics

Futaki, Akito

Futaki, Akito

J. Symplectic Geom., Tome 6 (2008) no. 2, p. 127-138 / Harvested from Project Euclid

Résumé

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.

Publié le : 2008-06-15
Classification:

@article{1219866509,
     author = {Futaki, Akito},
     title = {Holomorphic vector fields and perturbed extremal K\"ahler metrics},
     journal = {J. Symplectic Geom.},
     volume = {6},
     number = {2},
     year = {2008},
     pages = { 127-138},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1219866509}
}

Futaki, Akito. Holomorphic vector fields and perturbed extremal Kähler metrics. J. Symplectic Geom., Tome 6 (2008) no. 2, pp.  127-138. http://gdmltest.u-ga.fr/item/1219866509/