RIESZ ENERGIES AND THE MAGNITUDE OF MANIFOLDS
We study the geometric significance of Leinster’s magnitude invariant. For closed manifolds we find a precise relation with Brylinski’s beta function and therefore with classical invariants of knots and submanifolds. In the special case of compact homogeneous spaces we obtain an elementary proof that the residues of the beta function contain the same geometric information as the asymptotic expansi
