Scalar-flat Kähler metrics with varying cone angle singularities along a divisor

DOI10.1090/proc/17032MaRDI QIDQ6654045

Rosa Sena-Dias, Goncalo Oliveira

Publication date: 18 December 2024

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler manifolds (32Q15) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Cites Work

• The Dirichlet problem at infinity for manifolds of negative curvature
• The Dirichlet problem at infinity for a negatively curved manifold
• Positive harmonic functions on complete manifolds of negative curvature
• Uniqueness of Kähler-Einstein cone metrics
• Explicit self-dual metrics on \({\mathbb{C}}{\mathbb{P}}_ 2\#\cdots \#{\mathbb{C}}{\mathbb{P}}_ 2\)
• Non-uniqueness of the Leray-Hopf solutions in the hyperbolic setting
• The Gibbons-Hawking ansatz over a wedge
• Curvature, cones and characteristic numbers
• Local models for conical Kähler-Einstein metrics
• Kähler Metrics with Cone Singularities Along a Divisor
• Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities
• Kähler-Einstein metrics with edge singularities

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