Berezin quantization of homogeneous bounded domains
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Publication:691082
DOI10.1007/S10711-012-9697-1zbMath1257.53120arXiv1106.2510OpenAlexW2030017768MaRDI QIDQ691082
Publication date: 29 November 2012
Published in: Geometriae Dedicata (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1106.2510
Global differential geometry of Hermitian and Kählerian manifolds (53C55) Geometric quantization (53D50)
Related Items (30)
On the first two coefficients of the Bergman function expansion for radial metrics ⋮ Diastatic entropy and rigidity of complex hyperbolic manifolds ⋮ Balanced metrics on the Fock-Bargmann-Hartogs domains ⋮ Remarks on regular quantization and holomorphic isometric immersions on Hartogs triangles ⋮ On the balanced condition for the Eguchi-Hanson metric ⋮ On Calabi's diastasis function of the cigar metric ⋮ Balanced metrics and Berezin quantization on Hartogs triangles ⋮ On the coefficients of TYZ expansion of locally Hermitian symmetric spaces ⋮ Characterization of simply connected complex space forms in terms of Bergman functions ⋮ The balanced metrics and cscK metrics on polyball bundles ⋮ Bochner coordinates on flag manifolds ⋮ Some remarks on homogeneous Kähler manifolds ⋮ Berezin-Engliš' quantization of Cartan-Hartogs domains ⋮ Uniqueness of smooth radial balanced metrics on the disc ⋮ A note on diastatic entropy and balanced metrics ⋮ Two conjectures on Ricci-flat Kähler metrics ⋮ Remarks on Rawnsley's \(\varepsilon\)-function on the Fock-Bargmann-Hartogs domains ⋮ Remarks on Berezin quantization on the Siegel-Jacobi ball ⋮ The log-term of the Bergman kernel of the disc bundle over a homogeneous Hodge manifold ⋮ Strongly not relatives Kähler manifolds ⋮ Rawnsley's \(\varepsilon\)-function on some Hartogs type domains over bounded symmetric domains and its applications ⋮ Bergman kernel function for Hartogs domains over bounded homogeneous domains ⋮ The Simanca metric admits a regular quantization ⋮ Balanced metric and Berezin quantization on the Siegel-Jacobi ball ⋮ Finite TYCZ expansions and cscK metrics ⋮ The regular quantizations of certain holomorphic bundles ⋮ The real Jacobi group revisited ⋮ The balanced metrics and cscK metrics on certain holomorphic ball bundles ⋮ Umehara algebra and complex submanifolds of indefinite complex space forms ⋮ Balanced metrics on some Hartogs type domains over bounded symmetric domains
Cites Work
- Unnamed Item
- Unnamed Item
- Kähler-Einstein submanifolds of the infinite dimensional projective space
- Regular quantizations of Kähler manifolds and constant scalar curvature metrics
- Balanced metrics on Hartogs domains
- Moment maps, scalar curvature and quantization of Kähler manifolds
- Inequality for the distortion function of invertible sheaves on abelian varieties
- Radial balanced metrics on the unit disk
- Quantization of Kähler manifolds. III
- Quantization of Kähler manifolds and the asymptotic expansion of Tian-Yau-Zelditch
- Scalar curvature and projective embeddings. I
- Representations of the affine transformation groups acting simply transitively on Siegel domains
- Representations of certain solvable Lie groups on Hilbert spaces of holomorphic functions and the application to the holomorphic discrete series of a semisimple Lie group
- Quantization of Kähler manifolds. IV
- Kähler immersions of homogeneous Kähler manifolds into complex space forms
- TYZ expansion for the Kepler manifold
- Calabi's diastasis function for Hermitian symmetric spaces
- Polarization and unitary representations of solvable Lie groups. Appendix by Calvin C. Moore
- Quantization of Kähler manifolds. I: Geometric interpretation of Berezin's quantization
- Isometric imbedding of complex manifolds
- Unitary holomorphic multiplier representations over a homogeneous bounded domain
- Simply Transitive Groups and Kahler Structures on Homogeneous Siegel Domains
- QUANTIZATION
- COHERENT STATES AND KAHLER MANIFOLDS
- Quantization of Kahler Manifolds. II
- Berezin Quantization and Reproducing Kernels on Complex Domains
- Berezin transforms and Laplace-Beltrami operators on homogeneous Siegel domains
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