English

Real Einstein loci

Differential Geometry 2026-02-03 v2

Abstract

The aim of this article is to study the interplay between the complex, and underlying real geometries of a K\"ahler manifold. We provide a necessary and sufficient condition for certain anti-holomorphic automorphisms of a compact K\"ahler-Einstein manifold to determine real Einstein submanifolds.

Keywords

Cite

@article{arxiv.2502.14533,
  title  = {Real Einstein loci},
  author = {Gabriella Clemente},
  journal= {arXiv preprint arXiv:2502.14533},
  year   = {2026}
}