
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.
hammock effect, positive curvature, singular conformal deformations, Gravitational energy and conservation laws; groups of motions, shortening of geodesics, scalar curvature, Methods of global Riemannian geometry, including PDE methods; curvature restrictions, Geodesics in global differential geometry, positive-energy theorem, Global Riemannian geometry, including pinching
hammock effect, positive curvature, singular conformal deformations, Gravitational energy and conservation laws; groups of motions, shortening of geodesics, scalar curvature, Methods of global Riemannian geometry, including PDE methods; curvature restrictions, Geodesics in global differential geometry, positive-energy theorem, Global Riemannian geometry, including pinching
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| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Top 10% | |
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