Scalar curvature and hammocks
type: Item
instance of: scholarly article
title: Scalar curvature and hammocks
zbMATH Open document ID: 0943.53024
author: Joachim Lohkamp
published in: Mathematische Annalen
publication date: 2000-09-05T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 53C20
Mathematics Subject Classification ID: 83C40
Mathematics Subject Classification ID: 53C22
Mathematics Subject Classification ID: 53C21
zbMATH DE Number: 1295406
zbMATH Keywords: hammock effect
zbMATH Keywords: scalar curvature
zbMATH Keywords: singular conformal deformations
zbMATH Keywords: positive-energy theorem
zbMATH Keywords: positive curvature
zbMATH Keywords: shortening of geodesics
reviewed by: Joseph D. Zund
MaRDI profile type: Publication
full work available at URL: s002080050266
OpenAlex ID: W2035288209
DOI: 10.1007/S002080050266
description: scientific article; zbMATH DE number 1295406