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20172026
most citedFirst eigenvalue of the -Laplacian under integral curvature condition

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math.DG2026

A Sharp Diameter-Dependent Lower Bound for the First Nonzero Neumann Eigenvalue of Geodesic Triangles in Space Forms

Shoo Seto, Guofang Wei, Yusen Xia

We prove a sharp lower bound for the first nonzero Neumann eigenvalue of geodesic triangles of given diameter in two-dimensional space forms. The bound is given by the first positi…