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- W4313379510 abstract "An almost Kahler structure is {it extremal} if the Hermitian scalar curvature is a Killing potential [29]. When the almost complex structure is integrable it coincides with extremal Kahler metric in the sense of Calabi [8]. We observe that the existence of an extremal {it toric} almost Kahler structure of involutive type implies uniform K-stability and we point out the existence of a formal solution of the Abreu equation for any angle along the invariant divisor. Applying the recent result of Chen--Cheng [10] and He [27], we conclude that the existence of a compatible extremal toric almost Kahler structure of involutive type on a compact symplectic toric manifold is equivalent to its relative uniform $K$--stability (in a toric sense). As an application, using [5], we get the existence of an extremal toric Kahler metric in each Kahler class of $mathbb{P}(mathcal{O}oplus mathcal{O}(k_1) oplus mathcal{O}(k_2))$." @default.
- W4313379510 created "2023-01-06" @default.
- W4313379510 creator A5043156650 @default.
- W4313379510 date "2018-11-13" @default.
- W4313379510 modified "2023-09-28" @default.
- W4313379510 title "A NOTE ON EXTREMAL TORIC ALMOST KÄHLER METRICS" @default.
- W4313379510 hasPublicationYear "2018" @default.
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