Lower dimensional S¹-invariant Kähler-Einstein metrics via integrable structures

2022/06/15 by Filippo Salis, Salis, Filippo
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2206.07755

openalex publication_date 2022/06/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We focus on the classical open problem of the classification of Kähler-Einstein manifolds that can be Kähler 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 Kähler- Einstein metrics admitting symmetries of rotational type. This leads to certain integrable distributions allowing a classification of such metrics.

Related

• Projectively induced rotation invariant Kähler metrics
• \mathbbTⁿ-invariant Kaehler-Einstein manifolds immersed in complex projective spaces
• Kähler-Einstein toric submanifolds of the projective space
• Kähler-Einstein metrics
• Einstein Metrics via Intrinsic or Parallel Torsion