Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 356-02. Weak Hessian bounds along every geodesic in RCD spaces
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OpenAI@2026-10-07#rem:oai-p-356-02
Authors: OpenAI. Family 356.
Title: Weak Hessian bounds along every geodesic in RCD spaces.
Abstract: On a full-support ${}mathrm{RCD}(K,N)$ space with $1{}lt N{}lt {}infty$, we prove that a bounded globally Lipschitz function whose distributional Hessian is bounded above by a bounded continuous function satisfies the corresponding second-derivative inequality along every minimizing geodesic.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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