Some remarks on homogeneous Kähler manifolds
From MaRDI portal
Publication:897090
DOI10.1007/s10711-015-0085-5zbMath1332.53091arXiv1502.00011OpenAlexW3099626140MaRDI QIDQ897090
Publication date: 16 December 2015
Published in: Geometriae Dedicata (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1502.00011
Kähler metricsbalanced metricsCalabi's diastasis functionBerezin quantizationbounded homogeneous domaindiastatic entropy
Differential geometry of homogeneous manifolds (53C30) Symplectic manifolds (general theory) (53D05) Global differential geometry of Hermitian and Kählerian manifolds (53C55)
Related Items (18)
Diastatic entropy and rigidity of complex hyperbolic manifolds ⋮ Remarks on regular quantization and holomorphic isometric immersions on Hartogs triangles ⋮ Coadjoint orbits and Kähler structure: examples from coherent states ⋮ CR-relatives Kähler manifolds ⋮ Characterization of simply connected complex space forms in terms of Bergman functions ⋮ On the diastatic entropy and \(\mathcal{C}^1\)-rigidity of complex hyperbolic manifolds ⋮ Holomorphic isometries into homogeneous bounded domains ⋮ Bochner coordinates on flag manifolds ⋮ On holomorphic isometries into blow-ups of \(\mathbb{C}^n\) ⋮ Contractibility of homogeneous Kenmotsu manifolds ⋮ 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 ⋮ Rawnsley's \(\varepsilon\)-function on some Hartogs type domains over bounded symmetric domains and its applications ⋮ The Simanca metric admits a regular quantization ⋮ Balanced metric and Berezin quantization on the Siegel-Jacobi ball ⋮ On the non-existence of common submanifolds of Kähler manifolds and complex space forms ⋮ Extremal Kähler metrics induced by finite or infinite-dimensional complex space forms
Cites Work
- Unnamed Item
- Unnamed Item
- A note on diastatic entropy and balanced metrics
- Uniqueness of balanced metrics on holomorphic vector bundles
- The diastatic exponential of a symmetric space
- Berezin quantization of homogeneous bounded domains
- Harmonically induced representations of solvable Lie groups
- The fundamental conjecture for homogeneous Kähler manifolds
- Coherent state embeddings, polar divisors and Cauchy formulas
- Kähler immersions of homogeneous Kähler manifolds into complex space forms
- The volume entropy of local Hermitian symmetric space of noncompact type
- Quantization of Kähler manifolds. I: Geometric interpretation of Berezin's quantization
- Isometric imbedding of complex manifolds
- BALANCED METRICS ON HOMOGENEOUS VECTOR BUNDLES
- Some remarks on the Gromov width of homogeneous Hodge manifolds
- COHERENT STATES AND KAHLER MANIFOLDS
- Quantization of Kahler Manifolds. II
- Berezin Quantization and Reproducing Kernels on Complex Domains
- A bounded homogeneous domain and a projective manifold are not relatives
This page was built for publication: Some remarks on homogeneous Kähler manifolds