Abstract
By embedding a class of closed Riemannian manifolds (satisfying some curvature assumptions and with diameter bounded from above) into the same Hilbert space, we interpret certain estimates on the heat kernel as giving a precompactness theorem on the class considered.
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This research has been supported in part by the E.C. Contract SC 1-0105-C “G.A.D.G.E.T.”
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Bérard, P., Besson, G. & Gallot, S. Embedding Riemannian manifolds by their heat kernel. Geometric and Functional Analysis 4, 373–398 (1994). https://doi.org/10.1007/BF01896401
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DOI: https://doi.org/10.1007/BF01896401