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Sub-Riemannian spectral distance

Inahama, Yuzuru
arXiv (All) · Papers
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60h07differential-geometryprobability
We study eigenvalues and eigenfunctions of the ``div-grad type" sub-Laplacian with respect to Popp's volume on a compact equiregular sub-Riemannian manifold $M$. Since Popp's volume is canonically determined by the sub-Riemannian structure of $M$, the spetra of the sub-Laplacian carry geometric mean
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