The holomorphic sectional curvature and “convex” real hypersurfaces in Kähler manifolds

DOI10.4064/cm8412-4-2021zbMath1487.32195arXiv2008.04055OpenAlexW3215807219MaRDI QIDQ5066086

Duong Ngoc Son

Publication date: 29 March 2022

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.04055

zbMATH Keywords

convexityholomorphic sectional curvature

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40) Analysis on CR manifolds (32V20)

Cites Work

• Positive scalar curvature and the Dirac operator on complete Riemannian manifolds
• On the structure of manifolds with positive scalar curvature
• Pseudo-hermitian structures on a real hypersurface
• Holomorphic differential invariants for an ellipsoidal real hypersurface
• The sharp upper bounds for the first positive eigenvalue of the Kohn-Laplacian on compact strictly pseudoconvex hypersurfaces
• Rigidity of CR-immersions into spheres
• Complex convexity and analytic functionals
• Embeddability for 3-dimensional Cauchy-Riemann manifolds and CR Yamabe invariants
• On the Chern-Moser-Weyl tensor of real hypersurfaces
• \(C_0\)-positivity and a classification of closed three-dimensional CR torsion solitons
• A new characterization of the CR sphere and the sharp eigenvalue estimate for the Kohn Laplacian
• Nonnegativity of the CR Paneitz operator for embeddable CR manifolds
• On the CR–Obata theorem and some extremal problems associated to pseudoscalar curvature on the real ellipsoids in $\mathbb{C}^{n+1}$
• Semi-isometric CR immersions of CR manifolds into Kähler manifolds and applications
• Embedded three-dimensional CR manifolds and the non-negativity of Paneitz operators
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