BOTT MANIFOLDS WITH VANISHING FUTAKI INVARIANTS FOR ALL KAHLER CLASSES

被引：0

作者：

Ono, Hajime ^{[1
]}

Sano, Yuji ^{[2
]}

Yotsutani, Naoto ^{[3
]}

机构：

[1] Univ Tsukuba, Dept Math, 1-1-1 Tennodai, Tsukuba, Ibaraki 3058571, Japan

[2] Fukuoka Univ, Fac Sci, Dept Appl Math, 8-19-1 Nanakuma,Jonan ku, Fukuoka 8140180, Japan

[3] Kagawa Univ, Fac Educ Math, 1-1 Saiwai Cho, Takamatsu 7608521, Japan

来源：

NAGOYA MATHEMATICAL JOURNAL | 2025年

关键词：

Bott manifolds; strong Calabi dream manifolds; toric varieties; Futaki invariants; EXTREMAL METRICS; COMPACT; EXISTENCE; STABILITY; CURVATURE; CRITERION;

D O I：

10.1017/nmj.2025.4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the only Bott manifolds such that the Futaki invariant vanishes for any K & auml;hler class are isomorphic to the products of the projective lines.

引用

页数：20

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