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arXiv · 1703.01811

On complex Legendre duality

Laszlo Lempert
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Abstract

Complex Legendre duality is a generalization of Legendre transformation from Euclidean spaces to Kahler manifolds, that Berndtsson and collaborators have recently constructed. It is a local isometry of the space of Kahler potentials. We show that the fixed point of such a transformation must correspond to a real analytic Kahler metric.

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Laszlo Lempert. 2017-03-06. On complex Legendre duality. https://arxiv.org/abs/1703.01811

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