An Obstacle for Higher Regularity of Geodesics in the Space of Kähler Potentials

DOI10.1093/imrn/rnz134zbMath1487.32134arXiv1808.03498OpenAlexW2966061444MaRDI QIDQ5068187

Jingchen Hu

Publication date: 5 April 2022

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.03498

zbMATH Keywords

geodesicsspace of Kähler potentials

Mathematics Subject Classification ID

Kähler manifolds (32Q15) Geodesics in global differential geometry (53C22)

Cites Work

• Unnamed Item
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• Some symplectic geometry on compact Kähler manifolds. I
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• Elliptic partial differential equations of second order
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• The Monge-Ampère equation for non-integrable almost complex structures
• Geodesics in the space of Kähler metrics
• Weak geodesics in the space of Kähler metrics
• Regularity of the Dirichlet problem for the complex Monge-Ampère equation
• Nahm's equations and free-boundary problems
• Morse theory and geodesics in the space of Kähler metrics
• Regularity of the dirichlet problem for the degenerate complex Monge-Ampère equation
• Complex Monge-Ampere and Symplectic Manifolds
• C^1,1 regularity for degenerate complex Monge–Ampère equations and geodesic rays

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