Regular quantizations of Kähler manifolds and constant scalar curvature metrics

DOI10.1016/j.geomphys.2004.07.006zbMath1080.53067OpenAlexW2163838876MaRDI QIDQ556158

Andrea Loi

Publication date: 13 June 2005

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2004.07.006

zbMATH Keywords

MetricsKähler manifoldsBergman metricsQuantum mechanicsDiastasis

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler manifolds (32Q15) Geometric quantization (53D50)

Related Items (24)

On the first two coefficients of the Bergman function expansion for radial metrics ⋮ CANONICAL METRICS ON CARTAN–HARTOGS DOMAINS ⋮ The first two coefficients of the Bergman function expansions for Cartan–Hartogs domains ⋮ Balanced metrics on \(\mathbb C^n\) ⋮ Regular quantizations and covering maps ⋮ On the coefficients of TYZ expansion of locally Hermitian symmetric spaces ⋮ Uniqueness of balanced metrics on holomorphic vector bundles ⋮ Characterization of simply connected complex space forms in terms of Bergman functions ⋮ The balanced metrics and cscK metrics on polyball bundles ⋮ Balanced metrics on Cartan and Cartan-Hartogs domains ⋮ Some characterizations of the complex projective space via Ehrhart polynomials ⋮ Balanced metrics on Hartogs domains ⋮ Partially regular and cscK metrics ⋮ Berezin quantization of homogeneous bounded domains ⋮ The Simanca metric admits a regular quantization ⋮ Symplectic duality between complex domains ⋮ Canonical metrics on Hartogs domains ⋮ Balanced metric and Berezin quantization on the Siegel-Jacobi ball ⋮ The regular quantizations of certain holomorphic bundles ⋮ ENGLIŠ EXPANSION FOR HARTOGS DOMAINS ⋮ RIEMANNIAN GEOMETRY OF HARTOGS DOMAINS ⋮ Some remarks on the Kähler geometry of the Taub-NUT metrics ⋮ The balanced metrics and cscK metrics on certain holomorphic ball bundles ⋮ Radial balanced metrics on the unit disk

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• The asymptotics of a Laplace integral on a Kähler manifold
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