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Decades-old problem in classical geometry solved: First compact pair of bonnets found

  • March 13, 2026 at 1:20 PM
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Decades-old problem in classical geometry solved: First compact pair of bonnets found
For over 150 years, a rule of thumb dating back to the French mathematician Pierre Ossian Bonnet has been accepted in surface theory: If the metric and mean curvature of a compact surface are known at every point, then the surface can be uniquely determined. However, a team of three mathematicians from the Technical University of Munich (TUM), the Technical University of Berlin and North Carolina State University have now managed to disprove this recognized rule.

Originally published at Phys.org

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