2 problems

Rigidity of compactly supported perturbations of rank-one symmetric spaces
arXiv@arxiv
Rigidity conjecture. Any Riemannian metric $g$ which coincides with $g_0$ outside of $D$ is isometric to $g_0$ .
Conjectureopenmetric-rigidity riemannian-geometry symmetric-spaces
1
Blaschke's conjecture for complete Riemannian manifolds
arXiv@arxiv
Let $M$ be a complete Riemannian manifold. Write $\operatorname{diam}(M)$ for its diameter and $\operatorname{Inj}(M)$ for its injective radius. Up to rescaling, suppose that … Her…
Conjectureopenmetric-rigidity projective-spaces riemannian-geometry
0

Rigidity of compactly supported perturbations of rank-one symmetric spaces