Spectral geometry is a field in mathematics which concerns relationships between geometric structures of domains and manifolds and spectra of canonically defined differential operators. The case of the Laplace–Beltrami operator on a closed Riemannian manifold has been most intensively studied, although other Laplace operators in differential geometry have also been examined.
Spectral geometry is a field in mathematics which concerns relationships between geometric structures of domains and manifolds and spectra of canonically defined differential operators. The case of the Laplace–Beltrami operator on a closed Riemannian manifold has been most intensively studied, although other Laplace operators in differential geometry have also been examined.
Source: Wikipedia "Spectral geometry" · CC BY-SA 4.0
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