Balanced metrics on Cartan and Cartan-Hartogs domains
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Publication:415474
DOI10.1007/s00209-011-0842-6zbMath1239.53093arXiv1010.1034OpenAlexW3103017485MaRDI QIDQ415474
Publication date: 8 May 2012
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1010.1034
Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler-Einstein manifolds (32Q20) Differentiable maps on manifolds (58C25)
Related Items (28)
On the rigidity of proper holomorphic mappings for the Bergman-Hartogs domains ⋮ Balanced metrics on the Fock-Bargmann-Hartogs domains ⋮ On the balanced condition for the Eguchi-Hanson metric ⋮ Radial balanced metrics on the unit ball of the Kepler manifold ⋮ A Cartan-Hartogs version of the polydisk theorem ⋮ Submanifolds of Cartan-Hartogs domains and complex Euclidean spaces ⋮ The first two coefficients of the Bergman function expansions for Cartan–Hartogs domains ⋮ Balanced metrics and Berezin quantization on Hartogs triangles ⋮ An application of a Diederich-Ohsawa theorem in characterizing some Hartogs domains ⋮ On the coefficients of TYZ expansion of locally Hermitian symmetric spaces ⋮ The balanced metrics and cscK metrics on polyball bundles ⋮ Berezin-Engliš' quantization of Cartan-Hartogs domains ⋮ Uniqueness of smooth radial balanced metrics on the disc ⋮ Partially regular and cscK metrics ⋮ On canonical metrics on Cartan-Hartogs domains ⋮ Remarks on Rawnsley's \(\varepsilon\)-function on the Fock-Bargmann-Hartogs domains ⋮ The holomorphic equivalence of two equidimensional Hartogs domains over bounded symmetric domains ⋮ Rigidity of proper holomorphic mappings between equidimensional Hua domains ⋮ Strongly not relatives Kähler manifolds ⋮ On the Szegő kernel of Cartan-Hartogs domains ⋮ Rawnsley's \(\varepsilon\)-function on some Hartogs type domains over bounded symmetric domains and its applications ⋮ Remarks on the canonical metrics on the Cartan-Hartogs domains ⋮ The Simanca metric admits a regular quantization ⋮ The regular quantizations of certain holomorphic bundles ⋮ Some remarks on the Kähler geometry of the Taub-NUT metrics ⋮ The balanced metrics and cscK metrics on certain holomorphic ball bundles ⋮ Symplectic geometry of Cartan-Hartogs domains ⋮ Balanced metrics on some Hartogs type domains over bounded symmetric domains
Cites Work
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- Kähler-Einstein submanifolds of the infinite dimensional projective space
- Regular quantizations of Kähler manifolds and constant scalar curvature metrics
- Moment maps, scalar curvature and quantization of Kähler manifolds
- The Kähler-Einstein metric for some Hartogs domains over symmetric domains
- Radial balanced metrics on the unit disk
- Lorentz manifolds modelled on a Lorentz symmetric space
- Scalar curvature and projective embeddings. I
- New classes of domains with explicit Bergman kernel
- TYZ expansion for the Kepler manifold
- Global symplectic coordinates on complex domains
- Function spaces and reproducing kernels on bounded symmetric domains
- Isometric imbedding of complex manifolds
- COHERENT STATES AND KAHLER MANIFOLDS
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