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112 years of listening to Riemannian manifolds

112 years of listening to Riemannian manifolds

In 1910, Hendrik Antoon Lorentz delved into the enigmatic Laplace eigenvalue equation, also known as the Helmholtz equation, pondering to what extent the geometry in which one solves the equation can be recovered from knowledge of the eigenvalues. This equation, foundational in physics, puzzled scholars for decades due to its …