Scalar curvature and hammocks
The author considers the generalization of the Gaussian curvature on an \(n\)-dimensional Riemannian manifold and the question of the deformation, i.e., the increase/decrease, of the scalar curvature which he calls the ``hammock effect''. Contents include the following sections: an introduction; singular conformal deformations; hammocks; curvature decresing effects; the positive-energy theorem; the implication that negative energy yields positive curvature; detection of flatness; shortening of geodesics; closed geodesics; and small diameters.
scientific article; zbMATH DE number 1295406