Mathematical analysis demonstrates lower bounds for eigenvalues in spherical minimal hypersurfaces, highlighting geometric constraints from surface curvature.
In this paper, we establish lower bounds for the Cheeger isoperimetric constant and the first Dirichlet eigenvalue of bounded domains in a complete minimal hypersurface immersed in the unit sphere. These bounds are expressed in terms of the squared norm of the second fundamental form of .
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Fu et al. (2026) studied this question.
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