3 problems

Let $(M_1,g_1)$ and $(M_2,g_2)$ be smooth Riemannian manifolds of Anosov type whose boundary metrics agree: … Let $(\ell_g,S_g)$ denote the lens data. Lens rigidity conjecture. If…

Spectral rigidity conjecture. Spectral rigidity should hold for all Anosov metrics in any dimension.

Let $M$ be a smooth manifold with boundary, and let $g_1$ and $g_2$ be smooth metrics of Anosov type on $M$ such that … Assume that $g_1$ and $g_2$ have the same marked lens data,…