2 problems

Let $\mathcal{P}$ be the normed plane under consideration, with unit ball determined by its norm, and let $\lambda_k^1,\lambda_k^2$ denote the two eigenvalue sequences associated w…

Splitting conjecture. If $m\gamma$ can be contracted through curves of length less than $L$, then $\gamma$ can also be contracted through curves of length less than $L$.