[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 …

Twisted differentials and Lee classes of locally conformally symplectic complex surfaces

V Apostolov, G Dloussky - Mathematische Zeitschrift, 2023 - Springer
We study the set of deRham classes of Lee 1-forms of the locally conformally symplectic
(LCS) structures taming the complex structure of a compact complex surface in the Kodaira …

Functionals for the study of lcK metrics on compact complex manifolds

D Popovici, E Soheil - Bulletin des Sciences Mathématiques, 2023 - Elsevier
Functionals for the study of lcK metrics on compact complex manifolds - ScienceDirect Skip to
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Compact complex manifolds bimeromorphic to locally conformally Kähler manifolds

H Shimobe - Geometriae Dedicata, 2018 - Springer
We study compact complex manifolds bimeromorphic to locally conformally Kähler (LCK)
manifolds. This is an analogy of studying a compact complex manifold bimeromorphic to a …

A small deformation and modifications of locally conformally balanced manifolds

H Shimobe - arXiv preprint arXiv:1901.07258, 2019 - arxiv.org
We will consider locally conformally balanced manifolds. We prove that a locally conformally
balanced condition is not stable under a small deformation. We prove that locally …

Special hermitian metrics on compact complex manifolds

E Soheil - 2023 - theses.hal.science
In this thesis, we are interested in investigating the existence of special metrics on compact
complex non-K ahler manifolds and their deformations. In particular, we focus on Hermitian …

[PDF][PDF] En vue de l'obtention du

E SOHEIL - 2023 - math.univ-toulouse.fr
Résumé Dans cette thèse, nous nous intéressons à l'étude de l'existence de métriques
spéciales sur les variétés compactes complexes non-Kähleriennes et leurs déformations. En …

Example of a six-dimensional LCK solvmanifold

H Sawai - Complex Manifolds, 2017 - degruyter.com
Example of a six-dimensional LCK solvmanifold Page 1 © 2017 Hiroshi Sawai, published
by De Gruyter Open. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivs …

[PDF][PDF] Bimeromorphic Geometry of Locally Conformally

下部, 博一 - 2018 - ir.library.osaka-u.ac.jp
We study compact complex manifolds bimeromorphic to locally conformally Kähler (LCK)
manifolds. This is an analogy of studying a compact complex manifold bimeromorphic to a …

[PDF][PDF] LCK 可解多様体におけるVaisman 構造と複素構造(部分多様体の幾何学の深化と展開)

沢井洋 - 数理解析研究所講究録, 2020 - repository.kulib.kyoto-u.ac.jp
(M, g, J) をコンパクトなエルミート多様体とするまた, Q を (g, J) の基本 2 次形式とする. dfl= w 八 9
を禍たす閉 1 次形式 w が存在するとき,(M, g, J) を局所共形ケーラー多様体といい, 閉 1 次形式 w …