Convergence of the parabolic complex Monge-Ampère equation on compact Hermitian manifolds

Details Convergence of the parabolic complex Monge-Ampère equation on compact Hermitian manifolds Convergence of the parabolic complex Monge-Ampère equation on compact Hermitian manifolds

2010-09-29

arxiv.org/abs/1009.5756v2

Comm. Anal. Geom. 19 (2011), no. 2, 277--304

Mathematics

Differential Geometry

21 pages, some minor corrections, to appear in Comm. Anal. Geom

Scientific paper

We prove $C^\infty$ convergence for suitably normalized solutions of the
parabolic complex Monge-Amp\`ere equation on compact Hermitian manifolds. This
provides a parabolic proof of a recent result of Tosatti and Weinkove.

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