Lower bounds for the first Laplacian eigenvalue of geodesic balls of spherically symmetric manifolds

Cleon S. Barroso; Gregorio Pacelli Bessa

arxiv: math/0601180 · v4 · submitted 2006-01-09 · 🧮 math.DG · math.AP

Lower bounds for the first Laplacian eigenvalue of geodesic balls of spherically symmetric manifolds

Gregorio Pacelli Bessa , Cleon S. Barroso This is my paper

classification 🧮 math.DG math.AP

keywords boundslowerballsfirstgeodesiclaplacianmanifoldsspherically

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We obtain lower bounds for the first Laplacian eigenvalues of geodesic balls of spherically symmetric manifolds. These lower bounds are only $C^{0}$ dependent on the metric coefficients.

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Lower bounds for the first Laplacian eigenvalue of geodesic balls of spherically symmetric manifolds

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