Showing papers on "Ricci flow published in 1984"
TL;DR: In this article, the Ricci tensor uniquely determines the Riemannian structure and conditions that a doubly covariant tensor has to satisfy in order to be the Riccis tensor for a given structure.
Abstract: We investigate whether the Ricci tensor uniquely determines the Riemannian structure, and we give conditions that a doubly covariant tensor has to satisfy in order to be the Ricci tensor for some Riemannian structure.
41 citations
18 citations
16 citations
01 Feb 1984
TL;DR: The main theorem of as discussed by the authors states that every naturally reductive homogeneous Riemannian manifold of nonpositive Ricci curvature is symmetric, and as a corollary, every non-compact symmetric Eigen manifold is also symmetric.
Abstract: The main theorem states that every naturally reductive homogeneous Riemannian manifold of nonpositive Ricci curvature is symmetric. As a corollary, every noncompact naturally reductive Einstein manifold is symmetric.
10 citations
TL;DR: In this paper, a generalization of the chargedC metric to the nonstationary case is given and the possibility of associating the energy-momentum tensor with the electromagnetic or neutrino field is discussed.
Abstract: A generalization of the chargedC metric to the nonstationary case is given. The possibility of associating the energy-momentum tensor with the electromagnetic or neutrino field is discussed. It is shown that, for a specific choice of the time-dependent parameters, the metric admits at least a two-parameter group of proper Ricci collineations.
5 citations