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arXiv · 2407.12685

$\mathbb{T}^n$-invariant Kaehler-Einstein manifolds immersed in complex projective spaces

Gianni Manno·Filippo Salis
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Abstract

We give a complete list, for $n \leq 6$, of non-isometric $\mathbb{T}^n$-invariant Kaehler-Einstein manifolds immersed in a finite dimensional complex projective space endowed with the Fubini-Study metric. This solves, in the aforementioned case, a classical and long-staying problem addressed among others by Calabi and Chern.

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Gianni Manno, Filippo Salis. 2024-07-17. $\mathbb{T}^n$-invariant Kaehler-Einstein manifolds immersed in complex projective spaces. https://doi.org/10.1016/j.difgeo.2026.102347

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