Answers are grounded in this paper and cite their sources.
We introduce a spectral distance on the set of compact Riemannian manifolds, making use of their heat kernels, and show some basic properties of the distance on a class of compact Riemannian manifolds with diameters uniformly bounded from above and Ricci curvatures uniformly bounded from below.
No takes yet. Share an insight, caveat, or question.
Kasue et al. (1994) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: