A note on the first eigenvalue of spherically symmetric manifolds

Cleon S. Barroso; G. Pacelli Bessa

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A note on the first eigenvalue of spherically symmetric manifolds

Cleon S. Barroso·G. Pacelli Bessa

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Abstract

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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Cleon S. Barroso, G. Pacelli Bessa. 2006-09-18. A note on the first eigenvalue of spherically symmetric manifolds. https://arxiv.org/abs/math/0609495

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