BALANCED METRICS ON HOMOGENEOUS VECTOR BUNDLES

DOI10.1142/S0219887811005841zbMath1244.53084arXiv1101.3078MaRDI QIDQ2893158

Roberto Mossa

Publication date: 26 June 2012

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.3078

zbMATH Keywords

Hermitian symmetric spacebalanced metricKähler metricsbalanced basisholomorphic maps into Grassmannians

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Symplectic manifolds (general theory) (53D05) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Compact Kähler manifolds: generalizations, classification (32J27)

Related Items (1)

Some remarks on homogeneous Kähler manifolds

Cites Work

• Uniqueness of balanced metrics on holomorphic vector bundles
• Balance point and stability of vector bundles over a projective manifold
• Canonical metrics on stable vector bundles
• Balanced metrics on \(\mathbb C^n\)
• Homogeneous bundles and the first eigenvalue of symmetric spaces
• Radial balanced metrics on the unit disk
• On the moduli of vector bundles on an algebraic surface
• Quantization of Kähler manifolds. III
• Scalar curvature and projective embeddings. I
• Quantization of Kähler manifolds. IV
• Holomorphic vector bundles on homogeneous spaces
• Homogeneous vector bundles and stability
• On a theorem of Ramanan

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