Fujiki class 𝒞 and holomorphic geometric structures
From MaRDI portal
Publication:5113359
DOI10.1142/S0129167X20500391zbMath1440.53021arXiv1805.11951OpenAlexW3006999090MaRDI QIDQ5113359
Indranil Biswas, Sorin Dumitrescu
Publication date: 4 June 2020
Published in: International Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.11951
Global differential geometry of Hermitian and Kählerian manifolds (53C55) Local differential geometry of Hermitian and Kählerian structures (53B35) Differential invariants (local theory), geometric objects (53A55)
Related Items
Holomorphic projective connections on compact complex threefolds ⋮ A Bochner principle and its applications to Fujiki class 𝒞 manifolds with vanishing first Chern class ⋮ Holomorphic Riemannian metric and the fundamental group
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Holomorphic Cartan geometries and rational curves
- On two theorems about local automorphisms of geometric structures
- Vector fields of a finite type G-structure
- A Frobenius theorem for Cartan geometries, with applications
- On local and global existence of Killing vector-fields
- Variétés kähleriennes dont la première classe de Chern est nulle
- Connexions affines et projectives sur les surfaces complexes compactes
- Holomorphic group actions with many compact orbits
- Holomorphic Cartan geometries and Calabi-Yau manifolds
- Relative algebraic reduction and relative Albanese map for a fiber space in C
- Kähler spaces and proper open morphisms
- Classification theory of algebraic varieties and compact complex spaces. Notes written in collaboration with P. Cherenack
- Analytische periodische Strömungen auf kompakten komplexen Räumen
- On automorphism groups of compact Kähler manifolds
- Remarks on torus principal bundles
- Holomorphic foliations of codimension 1 on complex homogeneous spaces
- Holomorphic Riemannian metrics on compact threefolds are locally homogeneous
- Structures géométriques holomorphes sur les variétés complexes compactes
- Non-K\"ahler Calabi-Yau manifolds
- Holomorphic affine connections on non-Kähler manifolds
- Meromorphic almost rigid geometric structures
- Sur les variétés analytiques complexes
- Some Basic Theorems on Algebraic Groups
- Complex Analytic Connections in Fibre Bundles
- Déformations des structures complexes sur les espaces homogènes de SL (2, ).
- Cartan geometries on complex manifolds of algebraic dimension zero
- On 𝑛-dimensional compact complex varieties with 𝑛 algebraically independent meromorphic functions
- Complex Parallisable Manifolds
- Killing fields of holomorphic Cartan geometries