A note on the first eigenvalue of spherically symmetric manifolds
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math.AP
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boundseigenvaluefirstlowermanifoldssphericallysymmetricupper
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We give lower and upper bounds for the first eigenvalue of geodesic balls in spherically symmetric manifolds. These lower and upper bounds are $C^{0}$-dependent on the metric coefficients. It gives better lower bounds for the first eigenvalue of spherical caps than those from Betz-Camera-Gzyl.
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