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Geometry and complex manifolds

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Scope of this subject

This cluster of papers focuses on the geometry, stability, and properties of Kähler metrics, including topics such as scalar curvature, K-stability, complex Monge-Ampère equations, Ricci flow, Fano manifolds, Calabi-Yau manifolds, and geometric quantization.

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Research vocabulary

Kähler manifolds; complex manifolds; Kähler-Einstein metrics; compact Kähler manifolds; CR geometry; Kähler metrics; holomorphic sectional curvature; holomorphic vector bundles; holomorphic mappings; complex projective space; compact complex manifolds; almost complex structures; CR manifolds; Kähler geometry; twistor space; Kähler-Ricci flow; complex Monge-Ampère equation; plurisubharmonic functions; Stein manifolds; pluripotential theory; hyperkähler manifolds; Hermitian metrics; CR submanifolds; holomorphic foliations; Sasakian manifolds

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Local answer status

No owner-reviewed answer has been published for this exact subject page. This is a gap in this collection; it does not establish that the answer is unavailable elsewhere.

Numeric address and provenance

Morton address: 38351240468277433 · morton4x16-v1

Coordinates: (3, 26, 2608, 12351). The address interleaves categorical identifier bits. Nearby addresses are not guaranteed to describe semantically similar subjects.

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