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5. Eigenvalue Estimates


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      Problem 5.1.

      [A. Fraser] Is there a flow related to Skeklov eigenvalue maximization? For closed surfaces in S^3, does Mean Curvature Flow improve \lambda_1 \cdot Area? What about balanced flow that keeps the center of mass?


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          Problem 5.2.

          [A. Fraser] Existence of high genus free boundary minimal surface in B^3.


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              Problem 5.3.

              [A. Fraser] Is the catenoid the only embedded free boundary minimal annulus in B^3 ?

                  Cite this as: AimPL: Geometric flows and Riemannian geometry, available at http://aimpl.org/flowriemannian.