A Bochner principle and its applications to Fujiki class 𝒞 manifolds with vanishing first Chern class

DOI10.1142/S0219199719500512zbMath1447.53060arXiv1901.02656MaRDI QIDQ5117128

Indranil Biswas, Sorin Dumitrescu, Henri Guenancia

Publication date: 20 August 2020

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.02656

zbMATH Keywords

Calabi-Yau manifoldholomorphic Riemannian metricBochner principleholomorphic geometric structureFujiki class \(\mathcal{C}\) manifold

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Local differential geometry of Hermitian and Kählerian structures (53B35) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Differential invariants (local theory), geometric objects (53A55)

Related Items (2)

Holomorphic G-Structures and Foliated Cartan Geometries on Compact Complex Manifolds ⋮ Holomorphic \(\operatorname{GL}_2(\mathbb{C})\)-geometry on compact complex manifolds

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