Mathematics – Differential Geometry
Scientific paper
2011-07-30
Mathematics
Differential Geometry
12 page
Scientific paper
The purpose of this paper is to search for the exponential decay of
eigenfunctions of the Laplace-Beltrami operator on noncompact complete
Riemannian manifolds. Earlier works will be improved, and the best constant of
decay of eigenfunctions will be determined. In passing, some spectral
properties will be also discussed.
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