Probability measures associated to geodesics in the space of Kähler metrics

DOI10.1007/978-3-030-01588-6_6zbMath1420.32014arXiv0907.1806OpenAlexW2963349529MaRDI QIDQ2419132

Bo Berndtsson

Publication date: 29 May 2019

Full work available at URL: https://arxiv.org/abs/0907.1806

zbMATH Keywords

Kähler manifoldsline bundlesspace of Kähler metrics

Mathematics Subject Classification ID

Compact Kähler manifolds: generalizations, classification (32J27) Holomorphic bundles and generalizations (32L05)

Related Items (10)

Griffiths extremality, interpolation of norms, and Kähler quantization ⋮ Long geodesics in the space of Kähler metrics ⋮ Geodesic distance and Monge-Ampére measures on contact sets ⋮ A Wess-Zumino-Witten type equation in the space of Kähler potentials in terms of Hermitian-Yang-Mills metrics ⋮ The probabilistic vs the quantization approach to Kähler-Einstein geometry ⋮ Calabi type functionals for coupled Kähler-Einstein metrics ⋮ Geodesic stability, the space of rays and uniform convexity in Mabuchi geometry ⋮ Moduli theory, stability of fibrations and optimal symplectic connections ⋮ Geometric pluripotential theory on Kähler manifolds ⋮ The closures of test configurations and algebraic singularity types

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