Kähler hyperbolic manifolds and Chern number inequalities

DOI10.1090/tran/7955zbMath1432.32031arXiv1805.07877OpenAlexW3105014147MaRDI QIDQ5241470

Ping Li

Publication date: 31 October 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.07877

zbMATH Keywords

Kobayashi hyperbolicityChern number inequalitiesKähler hyperbolic manifoldKähler nonelliptic manifold

Mathematics Subject Classification ID

Kähler manifolds (32Q15) Topological aspects of complex manifolds (32Q55) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45)

Related Items (3)

Weakly Kähler hyperbolic manifolds and the Green-Griffiths-Lang conjecture ⋮ Characteristic numbers, Jiang subgroup and non-positive curvature ⋮ On the Hodge and Betti numbers of hyper-Kähler manifolds

Cites Work

• Kodaira dimensions and hyperbolicity of nonpositively curved compact Kähler manifolds
• On curvature and characteristic classes of a Riemann manifold
• Uniqueness of the complex structure on Kähler manifolds of certain homotopy types
• The complex-analyticity of harmonic maps and the strong rigidity of compact Kaehler manifolds
• Compact Kähler manifolds homotopic to negatively curved Riemannian manifolds
• First Pontrjagin form, rigidity and strong rigidity of nonpositively curved Kähler surface of general type
• On the cohomology of Kähler and hyper-Kähler manifolds
• Vanishing theorems for \(L^2\)-cohomology on infinite coverings of compact Kähler manifolds and applications in algebraic geometry
• \(-1\)-phenomena for the pluri \(\chi_y\)-genus and elliptic genus
• Holomorphic Morse inequalities and Bergman kernels
• Lectures on Kähler manifolds
• Kähler hyperbolicity and \(L_ 2\)-Hodge theory
• Calabi's conjecture and some new results in algebraic geometry
• Cohomology of Kaehler manifolds with c_1=0
• The Hirzebruch χy-genus and Poincaré polynomial revisited
• Higher-dimensional algebraic geometry
• Kähler parabolicity and the Euler number of compact manifolds of non-positive sectional curvature
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