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math.AP2022
The Preservation of Convexity by Geodesics in the Space of Kähler Potentials on Complex Affine Manifolds
Jingchen Hu
On a compact complex affine manifold with a constant coefficient Kähler metric , we introduce a concept: -convexity and show that -convexity is preserved by…
math.DG2022★ 1 cited
A Metric Lower Bound Estimate for Geodesics in the Space of Kähler Potentials
Jingchen Hu
In this paper we establish a positive lower bound estimate for the second smallest eigenvalue of the complex Hessian of solutions to a degenerate complex Monge-Ampère equation. As…