Archivio Istituzionale della RicercaWe give a complete list, for n <= 6, of mutually non-isometric Tn-invariant Kähler-Einstein manifolds, where Tn is the real n-dimensional torus, immersed in a finite dimensional complex projective space endowed with the Fubini-Study metric. This class includes, in particular, all toric Kähler manifolds. This solves, in the aforementioned case, a classical and long-staying problem addressed among others by Calabi and Chern.
Toric Kähler-Einstein manifolds immersed in complex projective spaces / Manno, Gianni; Salis, Filippo. - In: DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS. - ISSN 0926-2245. - 103:(2026), pp. 1-18. [10.1016/j.difgeo.2026.102347]
Toric Kähler-Einstein manifolds immersed in complex projective spaces
Manno, Gianni;Salis, Filippo
2026
Abstract
We give a complete list, for n <= 6, of mutually non-isometric Tn-invariant Kähler-Einstein manifolds, where Tn is the real n-dimensional torus, immersed in a finite dimensional complex projective space endowed with the Fubini-Study metric. This class includes, in particular, all toric Kähler manifolds. This solves, in the aforementioned case, a classical and long-staying problem addressed among others by Calabi and Chern.
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https://hdl.handle.net/11583/3009169