The Huber theorem for non-compact conformally flat manifolds
The authors show that the Huber-type conclusion is true for a complete Riemannian manifold \(M\) whose Ricci curvature belongs to \(L^{n/2}(M)\) if either \(M\) is a conformal domain with volume satisfying a growth condition in a compact Riemannian manifold or if \(M\) is conformally flat of dimension 4 and verifies some additional geometric properties. Partial results are given in other dimensions. The comparison with different results is discussed.
asymptotically locally Euclidian manifolds
scientific article; zbMATH DE number 1756816