[图书][B] Principles of locally conformally Kähler geometry
L Ornea, M Verbitsky - 2024 - Springer
Writing long books is a laborious and impoverishing act of foolishness: expanding in five
hundred pages an idea that could be perfectly explained in a few minutes. A better …
hundred pages an idea that could be perfectly explained in a few minutes. A better …
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 …
Streets-Tian Conjecture on Lie algebras with codimension abelian ideals
K Cao, F Zheng - arXiv preprint arXiv:2410.04791, 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 …
Balanced metrics and Gauduchon cone of locally conformally Kahler manifolds
L Ornea, M Verbitsky - arXiv preprint arXiv:2407.04623, 2024 - arxiv.org
A complex Hermitian $ n $-manifold $(M, I,\omega) $ is called locally conformally Kahler
(LCK) if $ d\omega=\theta\wedge\omega $, where $\theta $ is a closed 1-form, balanced if …
(LCK) if $ d\omega=\theta\wedge\omega $, where $\theta $ is a closed 1-form, balanced if …
Streets-Tian conjecture holds for 2-step solvmanifolds
S Chen, F Zheng - Journal of Geometry and Physics, 2025 - Elsevier
A Hermitian-symplectic metric is a Hermitian metric whose Kähler form is given by the (1, 1)-
part of a closed 2-form. Streets-Tian Conjecture states that a compact complex manifold …
part of a closed 2-form. Streets-Tian Conjecture states that a compact complex manifold …
Blowing up Chern-Ricci flat balanced metrics
Given a compact Chern-Ricci flat balanced orbifold, we show that its blow-up at a finite
family of smooth points admits constant Chern scalar curvature balanced metrics, extending …
family of smooth points admits constant Chern scalar curvature balanced metrics, extending …
Pluriclosed manifolds with parallel Bismut torsion
We present a complete classification of simply-connected pluriclosed manifolds with parallel
Bismut torsion, extending previously known results in the literature. Consequently, we also …
Bismut torsion, extending previously known results in the literature. Consequently, we also …
[PDF][PDF] The pluriclosed flow and the Vaisman condition
arXiv:2409.19826v1 [math.DG] 29 Sep 2024 Page 1 arXiv:2409.19826v1 [math.DG] 29 Sep
2024 THE PLURICLOSED FLOW AND THE VAISMAN CONDITION GIUSEPPE BARBARO …
2024 THE PLURICLOSED FLOW AND THE VAISMAN CONDITION GIUSEPPE BARBARO …
[PDF][PDF] Some constructions for canonical non-Kähler metrics
F Giusti - 2024 - data.math.au.dk
This thesis is about constructions of canonical metrics in complex non-Kähler geometry,
focusing in particular on balanced metrics satisfying special hermitian curvature conditions …
focusing in particular on balanced metrics satisfying special hermitian curvature conditions …