An extension of Calabi's rigidity theorem to complex submanifolds of indefinite complex space forms

DOI10.1007/BF01174794zbMath0617.53055MaRDI QIDQ1822069

Alfonso Romero

Publication date: 1987

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155250

zbMATH Keywords

complex space formrigidity theoremindefinite Kähler manifoldfull holomorphic isometric immersions

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Global submanifolds (53C40) Analytic subsets and submanifolds (32C25)

Related Items

Semi-Kählerian submanifolds of an indefinite complex space form ⋮ Space-like Einstein Kähler submanifolds in an indefinite complex hyperbolic space ⋮ Minimal Lagrangian submanifolds with constant sectional curvature in indefinite complex space forms

Cites Work

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• On a certain class of complex Einstein hypersurfaces in indefinite complex space forms
• Differential geometry of complex hypersurfaces. II
• Isometric imbedding of complex manifolds
• Complex Einstein hypersurfaces of indefinite complex space forms
• Some Examples of Indefinite Complete Complex Einstein Hypersurfaces Not Locally Symmetric
• Curvature in Hermitian metric