Complex Legendre duality
Résumé
We introduce complex generalizations of the classical Legendre transform, operating on Kähler metrics on a compact complex manifold. These Legendre transforms give explicit local isometric symmetries for the Mabuchi metric on the space of Kähler metrics around any real analytic Kähler metric, answering a question originating in Semmes' work.
Domaines
Mathématiques [math]| Origine | Fichiers produits par l'(les) auteur(s) |
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