PRECOMPACTNESS OF THE CALABI ENERGY
1996 ◽
Vol 07
(02)
◽
pp. 245-254
◽
Keyword(s):
For any complex manifold of Kähler type, the L2-norm of the scalar curvature of an extremal Kähler metric is a continuous function of the Kähler class. In particular, if a convergent sequence of Kähler classes are represented by extremal Kähler metrics, the corresponding sequence of L2-norms of the scalar curvatures is convergent. Similarly, the sequence of holomorphic vector fields associated with a sequence of extremal Kähler metrics with converging Kähler classes is convergent.
2004 ◽
Vol 15
(06)
◽
pp. 531-546
◽
1992 ◽
Vol 126
◽
pp. 89-101
◽
2008 ◽
Vol 6
(2)
◽
pp. 127-138
◽
Keyword(s):
2018 ◽
Vol 2020
(9)
◽
pp. 2769-2817
◽
2011 ◽
Vol 41
(4)
◽
pp. 423-445
◽
Keyword(s):
2009 ◽
pp. 187-217
1982 ◽
pp. 259-290
◽