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Injectivity-radius rigidity research reference
Family 344: The metric Blaschke conjecture. First application triage, 9 October 2026 Australia/Brisbane.
Problem and potential new use
Geometry researchers can recognize the exact classification triggered by equality of injectivity radius and diameter.
Applicability and commercial boundary
Noisy numerical equality is not a rigidity certificate, and no stability or efficient classification algorithm is supplied.
Initial business decision
Research or conditional engineering only. A practical implementation, recurring buyer problem and willingness to pay have not been established. Mathematical usefulness alone is insufficient evidence for a standalone lucrative product.
Next verification action
Seek a quantitative near-equality theorem before proposing a finite-mesh shape diagnostic.
Evidence scope
The catalog statement was individually reviewed. The manuscript proof and formal-scope comparison remain queued. No independent Lean verification was run. Source revision fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb. See source metadata.