We introduce a new family of geometries on the cone of positive definite matricesobtained from the Hessian of the power potential and provide explicit expressionsfor related quantities such as geodesics and distances.This generalizes in some sense…
Eventi
Geodesic distances on Banach manifolds – Daniele Tiberio (SISSA)
In a connected Banach manifold, equipped with a weak Riemannian metric, we show that the infimum of the lengths among all piecewise smooth curves joining two points (namely, the geodesic “distance”) does not define a distance in general. We…