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Principal bundles with holomorphic connections over a Kähler Calabi-Yau manifold.
- Source :
-
Differential Geometry & its Applications . Feb2024, Vol. 92, pN.PAG-N.PAG. 1p. - Publication Year :
- 2024
-
Abstract
- We prove that any holomorphic vector bundle admitting a holomorphic connection, over a compact Kähler Calabi-Yau manifold, also admits a flat holomorphic connection. This addresses a particular case of a question asked by Atiyah and generalizes a result previously obtained in [6] for simply connected compact Kähler Calabi-Yau manifolds. We give some applications of it in the framework of Cartan geometries and foliated Cartan geometries on Kähler Calabi-Yau manifolds. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09262245
- Volume :
- 92
- Database :
- Academic Search Index
- Journal :
- Differential Geometry & its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 175026824
- Full Text :
- https://doi.org/10.1016/j.difgeo.2023.102093