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5. Eigenvalue Estimates

    1. 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?
        • Problem 5.2.

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