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

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

2009-05-10

arxiv.org/abs/0905.1451v3

Mathematics

Differential Geometry

"$ \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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