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A lower bound for the least eigenvalue of Δ+V

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Abstract

In this note we give a sufficient condition for Δ+V to be positive on a closed Riemannian manifold. We also give an application to a Bochner type vanishing theorem.

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References

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This research was partially done under the E.E.C. Contract # SC 1-0105-C “GADGET” at the C.N.R.S. U.R.A. 188

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Bérard, P. A lower bound for the least eigenvalue of Δ+V . Manuscripta Math 69, 255–259 (1990). https://doi.org/10.1007/BF02567923

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  • DOI: https://doi.org/10.1007/BF02567923

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