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
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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].
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页码:420 / 432
页数:13
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