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If M is closed, the spectrum of each such operator is an infinite divergent sequence of real numbers, each eigenvalue being repeated according to its finite multiplicity. Spectral Geometry is concerned with the spectra of these operators, also the extent to which these spectra determine the geometry of M, g and the topology of M.

This problem has been translated by several authors most notably M. This terminology was inspired from earlier results of H. It is known that the above spectra cannot completely determine either the geometry of M , g or the topology of M.

Rationality of the Moduli Space of Stable Pairs over a Complex Curve

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    Spectral Geometry is concerned with the spectra of these operators, also the extent to which these spectra determine the geometry of M, g and the topology of M. This problem has been translated by several authors most notably M. This terminology was inspired from earlier results of H. It is known that the above spectra cannot completely determine either the geometry of M , g or the topology of M.


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