Subtracted geometry from Harrison transformations

Generating new supergravity solutions using Ehlers-Harrison-type transformations

The technique of generating new solutions to 4D gravity/matter systems by dimensional reduction to a σ-model is extended to supersymmetric configurations of supergravity. The conditions required for the preservation of supersymmetry under isometry transformations in the σ-model target space are found. Some examples illustrating the technique are given. e-mail: [email protected] e-mail: parviz@ph...

Ehlers-Harrison-type transformations in dilaton-axion gravity.

The ten–parametric internal symmetry group is found in the D = 4 Einstein– Maxwell–Dilaton–Axion theory restricted to space–times admitting a Killing vector field. The group includes dilaton–axion SL(2, R) duality and Harrison–type transformations which are similar to some target–space duality boosts, but act on a different set of variables. New symmetry is used to derive a seven–parametric fam...

Harrison 21_3

The expression of certain CD44 variants has been linked with metastasis and tumour progression. In particular, high molecular weight forms of CD44 show restricted expression in tumours and may correlate with tumour development and metastasis. In this study, we examined the expression of CD44 variants in prostate cancer cell lines: the invasive PC-3 and DU-145, low invasive LNCaP, and two non-in...

Ann Harrison

Linear Transformations and the Geometry of Motion

An important objective in providing a framework for describing motion from shape change is to make it possible to compute in a straightforward manner where a system will end up after a given non-reciprocal shape change sequence. For studying problems in biology, a central goal is to analyze how the animal moves as a function of a given shape change. In a controller design problem, we'd like to ...