English

2-dimensional K\"ahler-Einstein metrics induced by finite dimensional complex projective spaces

Differential Geometry 2022-06-16 v1

Abstract

We give a complete list of non-isometric bidimensional rotation invariant K\"ahler-Einstein submanifolds of 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 in [5] and [24].

Keywords

Cite

@article{arxiv.2011.04323,
  title  = {2-dimensional K\"ahler-Einstein metrics induced by finite dimensional complex projective spaces},
  author = {Gianni Manno and Filippo Salis},
  journal= {arXiv preprint arXiv:2011.04323},
  year   = {2022}
}

Comments

13 pages

R2 v1 2026-06-23T20:00:30.916Z