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arXiv · 2609.39276

Interior curvature estimates for graphical curvature quotient equations

Fei Han·Yan Ma
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Abstract

We prove interior curvature estimates for admissible graphical solutions of curvature quotient equations in the range $3\leq k<n$ on the full Gårding cone $Γ_k$. No convexity, semiconvexity, or $Γ_{k+1}$-admissibility assumption is required. The proof combines a new quantitative compression inequality, a two-surface comparison and doubling argument, and a Pogorelov estimate.

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Fei Han, Yan Ma. 2026-09-30. Interior curvature estimates for graphical curvature quotient equations. https://arxiv.org/abs/2609.39276

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