Mathematical Properties of a Class of Four-dimensional Neutral Signature Metrics

While the Lorenzian and Riemanian metrics for which all polynomial scalar curvature invariants vanish (the VSI property) are well-studied, less is known about the four-dimensional neutral signature metrics with the VSI property. Recently it was shown that the neutral signature metrics belong to two distinct subclasses: the Walker and Kundt metrics. In this paper we have chosen an example from each of the two subcases of the Ricci-flat VSI Walker metrics respectively. To investigate the difference between the metrics we determine the existence of a null, geodesic, expansion-free, shear-free and vorticity-free vector, and classify these spaces using their infinitesimal holonomy algebras. The geometric implications of the holonomy algebras are further studied by identifying the recurrent or covariantly constant null vectors, whose existence is required by the holonomy structure in each example. We conclude the paper with a simple example of the equivalence algorithm for these pseudo-Riemannian manifolds, which is the only approach to classification that provides all necessary information to determine equivalence.Comment: 18 page

CCNV Space-Times as Potential Supergravity Solutions

It is of interest to study supergravity solutions preserving a non-minimal fraction of supersymmetries. A necessary condition for supersymmetry to be preserved is that the spacetime admits a Killing spinor and hence a null or timelike Killing vector field. Any spacetime admitting a covariantly constant null vector field ($CCNV$) belongs to the Kundt class of metrics, and more importantly admits a null Killing vector field. We investigate the existence of additional non-spacelike isometries in the class of higher-dimensional $CCNV$ Kundt metrics in order to produce potential solutions that preserve some supersymmetries.Comment: 14 page

CONTACT-INHIBITED REVERTANT CELL LINES ISOLATED FROM SV40-TRANSFORMED CELLS : IV. Microfilament Distribution and Cell Shape in Untransformed, Transformed, and Revertant Balb/c 3T3 Cells

A comparison is made of the ultrastructure of the cell periphery in three cloned cell lines: untransformed Balb/c 3T3 cells, SV40-transformed Balb/c 3T3 cells, and revertant cells obtained from the transformed cell line by a selection technique utilizing concanavalin A. Both thin-section and surface replication techniques are used for in situ examination of the cell lines. Microfilaments, 70 Å in diameter (called alpha filaments), are abundant in untransformed and revertant cell lines, particularly in the anterior expansions of the cells, which tend to have many microvilli and small pseudopodia. Alpha filaments are diminished in the anterior expansions of transformed cells, which contain large blunt pseudopodia and relatively few microvilli. Surface replicas confirm the impression gained from thin sections that transformed cells have a greater proportion of their cell surface involved in bulging pseudopodia than either untransformed or revertant cells. Since alpha filaments are shown to bind heavy meromyosin and are similar to F-actin, these filaments are thought to be important in cell motility. These observations suggest that a close relationship exists between decreased alpha filaments, bulging pseudopodia, and loss of contact inhibition of movement in transformed cells

Empowering children\u27s social ecology: Reenvisioning postconflict reconstruction and education in rural Liberia

Despite the Accra Comprehensive Peace Agreement calling the end to Liberia’s back-to-back civil wars in 2003, Liberia’s peace remains fragile with a high number of out of school children, especially in rural communities. As an indicator of state fragility, rural education needs to be a priority in post-conflict reconstruction. This thesis emerged to support the nongovernmental organization, Supporting Programs in Community Empowerment (SPICE), an emerging Liberian-based nongovernmental organization. The methodologies for this action research project was a needs assessment, which resulted in the development of the Needs Assessment Report: Paving the Way for the Future of Liberian Children. Through open-ended interviews of governmental and nongovernmental organization leaders and community forums held at rural schools, the needs assessment identified programming goals, objectives, and strategies for SPICE\u27s programming. This thesis reviews a brief history of Liberia as a fragile state; needs assessment methodologies; and the development of SPICE\u27s programming with an emphasis on the development of the Child-Centered Social-Ecological Model for Postconflict Reconstruction