Results 151 to 160 of about 1,253 (179)

Collineations of the Ricci tensor

Journal of Mathematical Physics, 1993
Ricci collineations for the Ricci tensor which is constructed from a general spherically symmetric and static metric are classified for all possibilities of Rab(r) (such that Rab≠0 for a=b). It turns out that the only collineations admitted by this tensor can be ten, six, or four and there does not appear any case in between.
Ashfaque Bokhari   +2 more
exaly   +2 more sources

On the Curvature of Kähler Manifolds with Zero Ricci Tensor

Mathematical Notes, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly   +3 more sources

Riemann curvature and the Ricci tensor

Abstract In Chapter 11, we explain how curvature of spaces are described using the Riemann tensor and the Ricci tensor. These will supply the left-hand side of the Einstein equation. Geodesic deviation allows us to identify tidal forces that result from the curvature of spacetime due to gravity.
Tom Lancaster, Stephen J. Blundell
exaly   +2 more sources

Modifications of the Ricci tensor and applications

Archiv der Mathematik, 2010
By using two modified Ricci tensors, we prove some theorems which correspond to Myers’s diameter estimate theorem and Bochner’s vanishing theorem.
openaire   +1 more source

The Ricci tensor of a diagonal metric

American Journal of Physics, 1995
Formulas in suffix notation are obtained for the general diagonal component and the general off-diagonal component of the Ricci tensor of a pseudo-Riemannian manifold of arbitrary dimension with diagonal metric. Two applications to general relativity are briefly considered.
openaire   +1 more source

Ricci tensor with six collineations

International Journal of Theoretical Physics, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

A theorem of Ambrose for Bakry–Emery Ricci tensor

Annals of Global Analysis and Geometry, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Generalized Killing–Ricci Tensor for Real Hypersurfaces in Complex Hyperbolic Two-Plane Grassmannians

Mediterranean Journal of Mathematics, 2021
Young Jin Suh, Suh Young Jin
exaly  

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