3 citations · 10 across the 6 of their papers we have counts for
6 papers
Conformal holonomy, symmetric spaces, and skew symmetric torsion
Jesse Alt, Antonio J. Di Scala, Thomas Leistner
We consider the question: can the isotropy representation of an irreducible pseudo-Riemannian symmetric space be realized as a conformal holonomy group? Using recent results of Cap…
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…
On the twistor space of a quaternionic contact manifold
Jesse Alt
In this note, we prove that the CR manifold which is induced from the canonical parabolic geometry of a quaternionic contact (qc) manifold via a Fefferman-type construction is equi…
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…
The geometry of conformally Einstein metrics with degenerate Weyl tensor
Jesse Alt
The problem of characterizing conformally Einstein manifolds by tensorial conditions has been tackled recently in papers by M. Listing, and in work by A. R. Gover and P. Nurowski.…