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تسجيل مستخدم جديدIsoperimetric inequality for the third eigenvalue of the Laplace-Beltrami operator on $mathbb S^2$
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We prove an Herschs type isoperimetric inequality for the third positive eigenvalue on $mathbb S^2$. Our method builds on the theory we developped to construct extremal metrics on Riemannian surfaces in conformal classes for any eigenvalue.
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