Lower dimensional $S^1$-invariant K\"ahler-Einstein metrics via integrable structures
Differential Geometry
2022-06-17 v1
Abstract
We focus on the classical open problem of the classification of K\"ahler-Einstein manifolds that can be K\"ahler immersed into a complex projective space endowed with the Fubini-Study metric. In particular, we will deal with such problem in the special case of K\"ahler- Einstein metrics admitting symmetries of rotational type. This leads to certain integrable distributions allowing a classification of such metrics.
Cite
@article{arxiv.2206.07755,
title = {Lower dimensional $S^1$-invariant K\"ahler-Einstein metrics via integrable structures},
author = {Filippo Salis},
journal= {arXiv preprint arXiv:2206.07755},
year = {2022}
}