Symplectic analog of Calabi's conjecture for Calabi--Yau threefolds

Details Symplectic analog of Calabi's conjecture for Calabi--Yau threefolds Symplectic analog of Calabi's conjecture for Calabi--Yau threefolds

2012-03-12

arxiv.org/abs/1203.2665v1

Mathematics

Differential Geometry

4 pages. This is a revised version of "Mirror Kaehler potential on Calabi-Yau threefolds" arXiv:1110.4736

Scientific paper

In this paper we state an analog of Calabi's conjecture proved by Yau. The
difference with the classical case is that we propose deformation of the
complex structure, whereas the complex Monge--Amp\`{e}re equation describes
deformation of the K\"{a}hler (symplectic) structure.

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