Locally conformally Kahler structures on four-dimensional solvable Lie algebras

被引：6

作者：

Angella, Daniele ^{[1
]}

Origlia, Marcos ^{[2
,3
]}

机构：

[1] Univ Firenze, Dipartimento Matemat & Informat Ulisse Dini, Via Morgagni 67-A, I-50134 Florence, Italy

[2] Katholieke Univ Leuven, Kulak Campus Kortrijk,E Sabbelaan 53, BE-8500 Kortrijk, Belgium

[3] Univ Nacl Cordoba, FaMAF CIEM, RA-5000 Cordoba, Argentina

来源：

COMPLEX MANIFOLDS | 2020年 / 7卷 / 01期

关键词：

locally conformally Kahler; solvable Lie algebra; INVARIANT COMPLEX STRUCTURES; MANIFOLDS; SOLVMANIFOLDS; METRICS; THEOREM;

D O I：

10.1515/coma-2020-0001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We classify and investigate locally conformally Kahler structures on four-dimensional solvable Lie algebras up to linear equivalence. As an application we can produce many examples in higher dimension, here including lcK structures on Oeljeklaus-Toma manifolds, and we also give a geometric interpretation of some of the 4-dimensional structures in our classification.

引用

页码：1 / 35

页数：35

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