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- W2743417488 abstract "We obtain a structure theorem for the group of holomorphic automorphisms of a conformally Kahler, Einstein-Maxwell metric, extending the classical results of Matsushima, Licherowicz and Calabi in the Kahler-Einstein, cscK, and extremal Kahler cases. Combined with previous results of LeBrun, Apostolov-Maschler and Futaki-Ono, this completes the classification of the conformally Kahler, Einstein--Maxwell metrics on $mathbb{CP}^1 times mathbb{CP}^1$. We also use our result in order to introduce a (relative) Mabuchi energy in the more general context of $(K, q, a)$-extremal Kahler metrics in a given Kahler class, and show that the existence of $(K, q, a)$-extremal Kahler metrics is stable under small deformation of the Kahler class, the Killing vector field $K$ and the normalization constant $a$." @default.
- W2743417488 created "2017-08-17" @default.
- W2743417488 creator A5010572769 @default.
- W2743417488 date "2017-08-04" @default.
- W2743417488 modified "2023-09-27" @default.
- W2743417488 title "Automorphisms and deformations of conformally Kahler, Einstein-Maxwell metrics" @default.
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