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Balanced Hermitian structures on almost abelian Lie algebras
We study balanced Hermitian structures on almost abelian Lie algebras, ie on Lie algebras
with a codimension-one abelian ideal. In particular, we classify six-dimensional almost …
with a codimension-one abelian ideal. In particular, we classify six-dimensional almost …
Hermitian structures on a class of almost nilpotent solvmanifolds
In this paper we investigate the existence of invariant SKT, balanced and generalized Kähler
structures on compact quotients Γ﹨ G, where G is an almost nilpotent Lie group whose …
structures on compact quotients Γ﹨ G, where G is an almost nilpotent Lie group whose …
Fino–Vezzoni conjecture on Lie algebras with abelian ideals of codimension two
K Cao, F Zheng - Mathematische Zeitschrift, 2024 - Springer
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 …
contain abelian ideals of codimension two, a natural generalization to the class of almost …
SKT structures on nilmanifolds
The aim of this article is to study the existence of invariant SKT structures on nilmanifolds.
More precisely, we give a negative answer to the question of whether there exist ak-step (k> …
More precisely, we give a negative answer to the question of whether there exist ak-step (k> …
Hermitian geometry of Lie algebras with abelian ideals of codimension 2
Y Guo, F Zheng - Mathematische Zeitschrift, 2023 - Springer
Hermitian geometry of Lie algebras with abelian ideals of codimension 2 | Mathematische
Zeitschrift Skip to main content Springer Nature Link Account Menu Find a journal Publish with …
Zeitschrift Skip to main content Springer Nature Link Account Menu Find a journal Publish with …
Compatibility of balanced and SKT metrics on two-step solvable Lie groups
It has been conjectured by Fino and Vezzoni that a compact complex manifold admitting
both a compatible SKT and a compatible balanced metric also admits a compatible Kähler …
both a compatible SKT and a compatible balanced metric also admits a compatible Kähler …
Streets-Tian Conjecture on several special types of Hermitian manifolds
Y Guo, F Zheng - arxiv preprint arxiv:2409.09425, 2024 - arxiv.org
A Hermitian-symplectic metric is a Hermitian metric whose K\" ahler form is given by the $(1,
1) $-part of a closed $2 $-form. Streets-Tian Conjecture states that a compact complex …
1) $-part of a closed $2 $-form. Streets-Tian Conjecture states that a compact complex …
Hermitian structures on six-dimensional almost nilpotent solvmanifolds
We complete the classification of six-dimensional strongly unimodular almost nilpotent Lie
algebras admitting complex structures. For several cases we describe the space of complex …
algebras admitting complex structures. For several cases we describe the space of complex …
Hypercomplex almost abelian solvmanifolds
We give a characterization of almost abelian Lie groups carrying left invariant hypercomplex
structures and we show that the corresponding Obata connection is always flat. We …
structures and we show that the corresponding Obata connection is always flat. We …
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