Small isospectral and nonisometric orbifolds of dimension 2 and 3
classification
🧮 math.GT
math.NT
keywords
dimensionisospectralnonisometricorbifoldssmallarisingarithmeticconstruction
read the original abstract
Revisiting a construction due to Vigneras, we exhibit small pairs of orbifolds and manifolds of dimension 2 and 3 arising from arithmetic Fuchsian and Kleinian groups that are Laplace isospectral (in fact, representation equivalent) but nonisometric.
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