$\mathbb{T}^n$-invariant Kaehler-Einstein manifolds immersed in complex projective spaces
Differential Geometry
2026-02-18 v1
Abstract
We give a complete list, for , of non-isometric -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.
Cite
@article{arxiv.2407.12685,
title = {$\mathbb{T}^n$-invariant Kaehler-Einstein manifolds immersed in complex projective spaces},
author = {Gianni Manno and Filippo Salis},
journal= {arXiv preprint arXiv:2407.12685},
year = {2026}
}