A characterization of complex projective space up to biholomorphic isometry

DOI10.1007/BF02921636zbMath0957.53037OpenAlexW2151867162MaRDI QIDQ1298372

Karen Pinney Mortensen, Robert E. Molzon

Publication date: 23 November 1999

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02921636

zbMATH Keywords

complex projective spacecomplex manifoldFubini-Study metricbiholomorphic isometry

Mathematics Subject Classification ID

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

Related Items (5)

On a differential equation characterizing Euclidean spheres. ⋮ Geometry of conformal vector fields ⋮ Conformal vector fields and eigenvectors of Laplacian operator ⋮ Metric rigidity of Kähler manifolds with lower Ricci bounds and almost maximal volume ⋮ A generalization of Obata's theorem

Cites Work

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• The Schwarzian derivative and conformal mapping of Riemannian manifolds
• On the characterization of complex projective space by differential equations
• Curvatures of Monge-Ampère foliations and parabolic manifolds
• Certain conditions for a Riemannian manifold to be isometric with a sphere

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