2-dimensional Kahler-Einstein metrics induced by finite dimensional complex projective spaces

被引：0

作者：

Manno, Gianni ^{[1
]}

Sails, Filippo ^{[2
]}

机构：

[1] Politecn Torino, Dipartimento Sci Matemat G Lagrange, Corso Duca Abruzzi 24, I-10129 Turin, Italy

[2] Politecn Torino, Ist Nazl Alta Matemat F Severi, Corso Duca Abruzzi 24, I-10129 Turin, Italy

来源：

NEW YORK JOURNAL OF MATHEMATICS | 2022年 / 28卷

关键词：

Kahler-Einstein metrics; Kahler immersions; Kahler toric manifolds; complex projective spaces; flag manifolds; Calabi's diastasis function; MANIFOLDS; SUBMANIFOLDS; EXISTENCE; SURFACES; GEOMETRY;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we give a complete list of non-isometric bidimensional S-1-invariant Kahler-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 [7] and [31].

引用

页码：420 / 432

页数：13

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