The radial curvature of an end that makes eigenvalues vanish in the essential spectrum II

Mathematics – Differential Geometry

Scientific paper

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"$ \ge $" in the conditions $(*_4)$ and $(*_5)$ should be replaced by "$>$". $\gamma \ge \frac{n-1}{2}(b-a)$ in the conclusion

Scientific paper

Under the quadratic-decay-conditions of the radial curvatures of an end, we
shall derive growth estimates of solutions to the eigenvalue equation and show
the absence of eigenvalues.

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