3 problems

Higher-rank Mistretta–Stoppino conjecture. The following assertions hold: (i) $E$ is linearly (semi)stable; and (ii) $E$ is linearly (semi)stable if and only if $M_E$ is (semi)stab…

Let $\psi^{\mathrm{dat}}$ be data as in the paper's scattering-data definition, with $d>0$ and $N>5$, for the linearised equation on the hypersurface $\Sigma_1$. Let…

An algebraic soliton is a Ricci soliton arising algebraically, including the solvsolitons and nilsolitons considered in the paper. The algebraic soliton linear stability conjecture…