An inequality for $4$-dimensional Kählerian manifolds

DOI10.3792/pja/1195519372zbMath0273.53023OpenAlexW2005736938MaRDI QIDQ5182275

Shukichi Tanno

Publication date: 1973

Published in: Proceedings of the Japan Academy, Series A, Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pja/1195519372

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Local differential geometry of Hermitian and Kählerian structures (53B35)

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Locally conformally Hermitian-flat manifolds ⋮ Hearing the weights of weighted projective planes ⋮ Euler-Poincaré characteristics and curvature tensors ⋮ Eigenvalues of the Laplacian of Riemannian manifolds

Cites Work

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• Euler-Poincaré characteristics and curvature tensors
• Curvature and Betti Numbers. II
• Some Implications of the Generalized Gauss-Bonnet Theorem
• Characteristic Classes and Weyl Tensor: Applications to General Relativity
• Notes on Kählerian metrics with vanishing Bochner curvature tensor
• Curvature and Betti Numbers. (AM-32)

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