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Interior curvature estimates for graphical curvature quotient equations
Abstract
We prove interior curvature estimates for admissible graphical solutions of curvature quotient equations in the range 3≤ k<n on the full Gårding cone Γk. No convexity, semiconvexity, or Γk+1-admissibility assumption is required. The proof combines a new quantitative compression inequality, a two-surface comparison and doubling argument, and a Pogorelov estimate.
Related
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BibTeX
@misc{han2026interior,
title = {{Interior curvature estimates for graphical curvature quotient equations}},
author = {Fei Han and Yan Ma},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.39276},
eprint = {2609.39276},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.39276},
}
RIS
TY - UNPB
TI - Interior curvature estimates for graphical curvature quotient equations
AU - Fei Han
AU - Yan Ma
PY - 2026
DA - 2026/09/30
PB - arXiv
DO - 10.48550/arxiv.2609.39276
UR - https://arxiv.org/abs/2609.39276
AB - We prove interior curvature estimates for admissible graphical solutions of curvature quotient equations in the range 3≤ 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.
ER -