Bounds on the dimension of \(L^ 2\) holomorphic sections of vector bundles over complete Kähler manifolds of finite volume

DOI10.1007/BF01164035zbMath0585.32032OpenAlexW2075382417MaRDI QIDQ1071143

Ngaiming Mok

Publication date: 1986

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173676

zbMATH Keywords

dimensionfinite volumehermitian vector bundlecomplete Kähler manifold\(L^ 2\)- holomorphic sections

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10)

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Kähler manifolds with numerically effective Ricci class and maximal first Betti number are tori ⋮ Vanishing theorem on parabolic Kähler manifolds ⋮ A finiteness theorem for the space of \(L^{p}\) harmonic sections ⋮ Quasi-projective embeddings of noncompact complete Kähler manifolds of positive Ricci curvature and satisfying certain topological conditions ⋮ Kähler manifolds with almost non-negative Ricci curvature ⋮ Curvature and \(L^p\) Bergman spaces on complex submanifolds in \(\mathbb{C}^N\)

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