Results 101 to 110 of about 507 (127)

PROJECTIVE CURVATURE COLLINEATION IN FINSLER SPACES

Quaestiones Mathematicae, 1999
S. P. Sinch
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A note on curvature collineations in spacetimes

Classical and Quantum Gravity, 2005
Summary: An example of a spacetime is given in which the Lie algebra of curvature collineations, although finite-dimensional, is distinct from the affine algebra.
Hall, G. S., MacNay, Lucy
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Curvature collineations of some static spherically symmetric space–times

Journal of Mathematical Physics, 1996
Curvature collineations of some static spherically symmetric space–times are derived and compared with isometries and Ricci collineations for corresponding space–times.
Bokhari, Ashfaque H., Kashif, A. R.
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Curvature Collineations for Gravitational pp Waves

Journal of Mathematical Physics, 1970
Vacuum fields which admit a covariant constant vector are investigated in order to find ``curvature collineations,'' i.e., £Rklji=0. For all discussed types of pp waves it is shown that proper curvature collineations exist. We state the explicit form of these transformations.
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Classification of curvature collineations of plane symmetric static spacetimes

Journal of Mathematical Physics, 2000
A complete classification of curvature collineations of static plane symmetric spacetimes is obtained and then a comparison between isometries and Ricci Collineations of the corresponding metrics is given.
Bokhari, Ashfaque H., Kashif, Abdul R., Qadir, Asghar   +2 more
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A Complete Classification of Curvature Collineations of Cylindrically Symmetric Static Metrics

General Relativity and Gravitation, 2003
The authors study some properties of the infinitesimal curvature and Ricci collineations of a cylindrically symmetric static metric. They obtain a complete list of cylindrically symmetric static metrics by their curvature collineations. They show that there are curvature collineations that are distinct from the set of isometries and of Ricci ...
Bokhari, Ashfaque H., Kashif, Abdul R., Qadir, Asghar   +2 more
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Curvature collineations and the determination of the metric from the curvature in general relativity

General Relativity and Gravitation, 1983
It is shown that for a very general class of space-times, the componentsR of the curvature tensor determine the metric components up to a constant conformal factor.
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Collineations of the curvature tensor in general relativity

Pramana, 2005
Curvature collineations for the curvature tensor, constructed from a fundamental Bianchi Type-V metric, are studied. We are concerned with a symmetry property of space-time which is called curvature collineation, and we briefly discuss the physical and kinematical properties of the models.
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Groups of Curvature Collineations in Riemannian Space-Times Which Admit Fields of Parallel Vectors

Journal of Mathematical Physics, 1970
By definition, a Riemannian space Vn admits a symmetry called a curvature collineation (CC) if the Lie derivative with respect to some vector ξi of the Riemann curvature tensor vanishes. It is shown that if a Vn admits a parallel vector field, then it will admit groups of CC's.
Katzin, Gerald H., Levine, Jack, Davis, William R.   +2 more
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A note on proper curvature collineations in Bianchi type VIII and IX space-times

Gravitation and Cosmology, 2010
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Shabbir, Ghulam, Ali, Amjad, Ramzan, M.
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