Fino-Vezzoni conjecture on Lie algebras with abelian ideals of codimension two

被引：2
作者：
Cao, Kexiang [1 ]
Zheng, Fangyang [1 ]
机构：
[1] Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China
来源：
MATHEMATISCHE ZEITSCHRIFT | 2024年 / 307卷 / 02期
关键词：
Hermitian manifolds; Balanced metrics; Pluriclosed metrics; Fino-Vezzoni Conjecture; BALANCED METRICS; KAHLER; MANIFOLDS; EXISTENCE; TORSION;
D O I：
10.1007/s00209-024-03506-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we confirm the Fino-Vezzoni Conjecture for unimodular Lie algebras which contain abelian ideals of codimension two, a natural generalization to the class of almost abelian Lie algebras. This provides new evidence towards the validity of the conjecture on a very special type of 3-step solvmanifolds.
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页数：23
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