Spaces of Riemannian metrics
Instantanés de recherche mathématique à Oberwolfach
Riemannian metrics endow smooth manifolds such as surfaces with intrinsic geometric properties, for example with curvature. They also allow us to measure quantities like distances, angles and volumes. These are the notions we use to characterize the “shape” of a manifold. The space of Riemannian metrics is a mathematical object that encodes the many possible ways in which we can geometrically deform the shape of a manifold.
Also available in Spanish.
If you are interested in translating this Snapshot, please contact us at firstname.lastname@example.org