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- National Institute for Theoretical PhysicsZA15 papers
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4 papers · 1 filter
Transitive conformal holonomy groups
Jesse Alt
For a conformal manifold of signature and dimension at least three, the conformal holonomy group is an invariant induced…
Weyl connections and the local sphere theorem for quaternionic contact structures
Jesse Alt
We apply the theory of Weyl structures for parabolic geometries developed by A. Cap and J. Slovak in to compute, for a quaternionic contact (qc) structure, the Weyl connection asso…
On quaternionic contact Fefferman spaces
Jesse Alt
We investigate the Fefferman spaces of conformal type which are induced, via parabolic geometry, by the quaternionic contact (qc) manifolds introduced by O.Biquard. Equivalent char…
Constructing a Space from the System of Geodesic Equations
E. Fredericks, F. M. Mahomed, E. Momoniat +1
Given a space it is easy to obtain the system of geodesic equations on it. In this paper the inverse problem of reconstructing the space from the geodesic equations is addressed. A…