On complex Legendre duality

Published 6 Mar 2017 in math.CV | (1703.01811v1)

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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Authors (1)

Laszlo Lempert

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