Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 350-01. Sharp nodal length on smooth surfaces
Manuscript map · lines 9135–9144
OpenAI@2026-10-07#rem:oai-p-350-01
Authors: OpenAI. Family 350.
Title: Sharp nodal length on smooth surfaces.
Abstract: We prove that a nonzero real Laplace eigenfunction with eigenvalue λ > 0 on a fixed smooth closed connected Riemannian surface has nodal length at most $C{}sqrt{}lambda$. Together with the known lower bound, this proves Yau's conjecture in this setting.
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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