On the Optimal Regularity of Weak Geodesics in the Space of Metrics on a Polarized Manifold

DOI10.1007/978-3-319-52471-9_7zbMath1405.32021arXiv1405.6482OpenAlexW2963382587MaRDI QIDQ4562592

Robert J. Berman

Publication date: 17 December 2018

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.6482

zbMATH Keywords

complex Monge-Ampère equationMabuchi metricpolarized compact manifoldpositively curved Hermitian metric

Mathematics Subject Classification ID

Compact Kähler manifolds: generalizations, classification (32J27) Complex Monge-Ampère operators (32W20)

Related Items (7)

On the \(C^{1,1}\) regularity of geodesics in the space of Kähler metrics ⋮ Envelopes with prescribed singularities ⋮ Geodesic rays and Kähler–Ricci trajectories on Fano manifolds ⋮ The Dirichlet problem for the complex homogeneous Monge-Ampère equation ⋮ Kähler-Einstein metrics ⋮ Fully non-linear degenerate elliptic equations in complex geometry ⋮ C1,1 regularity of geodesics of singular Kähler metrics

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