A degenerate Monge-Ampère equation and the boundary classes of Kähler cones

DOI10.4310/MRL.2009.V16.N2.A12zbMath1183.32018OpenAlexW2090457352MaRDI QIDQ843051

Damin Wu, Fang Yang Zheng, Shing Tung Yau

Publication date: 29 September 2009

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/mrl.2009.v16.n2.a12

zbMATH Keywords

complex Monge-Ampère equationKähler cone

Mathematics Subject Classification ID

Kähler manifolds (32Q15) Complex Monge-Ampère operators (32W20)

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Negative holomorphic curvature and positive canonical bundle ⋮ The Wu–Yau theorem on Sasakian manifolds ⋮ A note on nonnegative quadratic orthogonal bisectional curvature ⋮ Remarks on the quadratic orthogonal bisectional curvature ⋮ On the weighted orthogonal Ricci curvature ⋮ Several special complex structures and their deformation properties ⋮ On real bisectional curvature for Hermitian manifolds ⋮ The fundamental group, rational connectedness and the positivity of Kähler manifolds ⋮ Comparison and vanishing theorems for Kähler manifolds ⋮ On orthogonal Ricci curvature ⋮ An example of compact Kähler manifold with nonnegative quadratic bisectional curvature ⋮ Picard number, holomorphic sectional curvature, and ampleness ⋮ On the boundary of Kähler cones ⋮ ON THE NONNEGATIVITY OF THE DIRICHLET ENERGY OF A WEIGHTED GRAPH

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