Integrable LCK manifolds

被引：0
|
作者：
Cappelletti-Montano, Beniamino [1 ]
De Nicola, Antonio [2 ]
Yudin, Ivan [3 ]
机构：
[1] Univ Cagliari, Dipartimento Matemat & Informat, Via Osped 72, I-09124 Cagliari, Italy
[2] Univ Salerno, Dipartimento Matemat, Via Giovanni Paolo II 132, I-84084 Fisciano, Italy
[3] Univ Coimbra CMUC, Dept Math, P-3001501 Coimbra, Portugal
来源：
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 2022年 / 61卷 / 03期
关键词：
Locally conformal Kahler; Inoue surface; LCK Lie algebra; LOCALLY CONFORMAL KAHLER; LATTICES;
D O I：
10.1007/s10455-021-09821-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study a natural class of LCK manifolds that we call integrable LCK manifolds: those where the anti-Lee form eta corresponds to an integrable distribution. As an application we obtain a characterization of unimodular integrable LCK Lie algebras as Kahler Lie algebras equipped with suitable derivations.
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页码：479 / 497
页数：19
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