Kähler-Einstein metrics and projective embeddings.

DOI10.1007/BF02921947zbMath1057.53032MaRDI QIDQ5950238

Dominique Hulin

Publication date: 8 October 2003

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

Kähler-Einstein metricisometric immersionprojective manifold

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Calabi-Yau theory (complex-analytic aspects) (32Q25) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Kähler-Einstein manifolds (32Q20)

Related Items (19)

Kähler-Ricci solitons induced by infinite-dimensional complex space forms ⋮ Stenzel's Ricci-flat Kähler metrics are not projectively induced ⋮ On discrete projective transformation groups of Riemannian manifolds ⋮ On the total curvature and Betti numbers of complex projective manifolds ⋮ Kähler maps of Hermitian symmetric spaces into complex space forms ⋮ Projectively induced rotation invariant Kähler metrics ⋮ Regular quantizations and covering maps ⋮ On holomorphic isometric immersions of nonhomogeneous Kähler-Einstein manifolds into the infinite dimensional complex projective space ⋮ Two conjectures on Ricci-flat Kähler metrics ⋮ Ricci flat Calabi's metric is not projectively induced ⋮ Isometric embeddings of Kähler-Ricci solitons in the complex projective space ⋮ Einstein and \(\eta \)-Einstein Sasakian submanifolds in spheres ⋮ A note on Kähler-Einstein metrics and Bochner's coordinates ⋮ Regular quantizations of Kähler manifolds and constant scalar curvature metrics ⋮ Kähler immersions of Kähler–Ricci solitons into definite or indefinite complex space forms ⋮ Some remarks on the symplectic and Kähler geometry of toric varieties ⋮ Extremal Kähler metrics induced by finite or infinite-dimensional complex space forms ⋮ On homothetic balanced metrics ⋮ 2-dimensional Kähler-Einstein metrics induced by finite dimensional complex projective spaces

Cites Work

• Unnamed Item
• On a set of polarized Kähler metrics on algebraic manifolds
• Convergence de la mêtrique de Fubini-Study d'un fibré linéaire positif. (Convergence of the Fubini-Study metric of a positive line bundle.)
• Isometric imbedding of complex manifolds
• Curvature in Hermitian metric

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