New extremal problems for the Riemannian recognition program via Alexandrov geometry
New extremal problems for the Riemannian recognition program via Alexandrov geometry
In its most general form, the recognition problem in riemannian geometry asks for the identification of an unknown riemannian manifold via measurements of metric invariants on the manifold. Optimally one wants to recognize a manifold having made as few measurements as possible. Many results in riemannian geometry, including pinching theorems, …