Some remarks on the uniqueness of the complex projective spaces

DOI10.1112/blms/bdw009zbMath1355.32015arXiv1510.02242OpenAlexW3105274718MaRDI QIDQ2801732

Ping Li

Publication date: 21 April 2016

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.02242

zbMATH Keywords

complex projective spacecompact Kähler manifolds

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Topological aspects of complex manifolds (32Q55) Compact Kähler manifolds: generalizations, classification (32J27)

Related Items (3)

The complex geometry of two exceptional flag manifolds ⋮ The spectral rigidity of complex projective spaces, revisited ⋮ Lagrangian fibrations

Cites Work

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• Uniqueness of the complex structure on Kähler manifolds of certain homotopy types
• Projective manifolds with the same homology as \({\mathbb{P}}^ k\)
• On topological characterizations of complex projective spaces and affine linear spaces
• Characterizations of complex projective spaces and hyperquadrics
• Some problems on differentiable and complex manifolds
• Clifford and Spinor Cohomology of Kahler Manifolds
• Calabi's conjecture and some new results in algebraic geometry
• Smooth 𝑆¹ actions on homotopy complex projective spaces and related topics
• Torus actions on homotopy complex projective spaces
• Torus actions on homotopy complex projective spaces

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