Lee classes on LCK manifolds with potential
From MaRDI portal
Publication:6203870
DOI10.2748/tmj.20220630arXiv2112.03363OpenAlexW4393247164MaRDI QIDQ6203870
Publication date: 8 April 2024
Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.03363
Teichmüller spaceHodge decompositiondeformationLee formlocally conformally KählerVaisman manifoldLee classalgebraic coneLCK potential
Global differential geometry of Hermitian and Kählerian manifolds (53C55) Deformations of complex structures (32G05)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- LCK rank of locally conformally Kähler manifolds with potential
- On the stability of locally conformal Kähler structures
- Locally conformal Kähler manifolds with potential
- Morse-Novikov cohomology of locally conformally Kähler manifolds
- On V-harmonic forms in compact locally conformal Kähler manifolds with the parallel Lee form
- Locally conformally Kähler metrics on Hopf surfaces
- The canonical foliation of a compact generalized Hopf manifold
- Locally conformal Kähler geometry
- On the metric structure of non-Kähler complex surfaces
- Morse-Novikov cohomology of locally conformally Kähler surfaces
- On the Lee classes of locally conformally symplectic complex surfaces
- Existence criteria for special locally conformally Kähler metrics
- An immersion theorem for Vaisman manifolds
- Generalized Hopf manifolds
- Geometric flow on compact locally conformally Kähler manifolds
- Toric Kato manifolds
- Supersymmetry and Hodge theory on Sasakian and Vaisman manifolds
- Locally conformally Kähler metrics on Kato surfaces
- Locally conformally Kähler metrics obtained from pseudoconvex shells
- Blowing-up points on l.c. K. manifolds
- On Locally and Globally Conformal Kahler Manifolds
- Locally Conformally Symplectic Structures on Compact Non-Kähler Complex Surfaces
- Classification of non-Kähler surfaces and locally conformally Kähler geometry
- On a Class of Kato Manifolds
- Making cobordisms symplectic
- Topology of Locally Conformally Kahler Manifolds with Potential