On Holomorphic Isometries into Blow-Ups of Cn

被引：0
|
作者：
Loi, Andrea [1 ]
Mossa, Roberto [1 ]
机构：
[1] Univ Cagliari, Dipartimento Matemat, Cagliari, Italy
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2023年 / 20卷 / 04期
关键词：
Kahlermetrics; Kahler-Einstein metrics; Burns-Simanca metric; Eguchi-Hanson metric; relatives Kahler manifolds; Calabi's diastasis function; CONSTANT SCALAR CURVATURE; KAHLER-RICCI SOLITONS; SUBMANIFOLDS; MANIFOLDS;
D O I：
10.1007/s00009-023-02437-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the Kahler-Einstein manifolds which admits a holomorphic isometry into either the generalized Burns-Simanca manifold (C-n, gS) or the Eguchi-Hanson manifold ((C) over tilde (2), gEH). Moreover, we prove that ((C) over tilde (n), gS) and ((C) over tilde (2), gEH) are not relatives to any homogeneous bounded domain.
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页数：11
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