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Eigenvalue Estimates for submanifolds of with locally bounded mean curvature
We give lower bounds for the fundamental tone of open sets in submanifolds
with locally bounded mean curvature in , where is an
-dimensional complete Riemannian manifold with radial sectional curvature
. When the immersion is minimal our estimates are sharp. We
also show that cylindrically bounded minimal surfaces has positive fundamental
tone.Comment: 9 page
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