36 citations · 121 across the 12 of their papers we have counts for
4 papers · 1 filter
Fefferman-Graham ambient metrics of Patterson-Walker metrics
Matthias Hammerl, Katja Sagerschnig, Josef Šilhan +2
Given an -dimensional manifold with an affine connection , we show that the associated Patterson-Walker metric on admits a global and explicit Fefferman-Graham…
The Geometry of Almost Einstein (2,3,5) Distributions
Katja Sagerschnig, Travis Willse
We analyze the classic problem of existence of Einstein metrics in a given conformal structure for the class of conformal structures inducedf Nurowski's construction by (oriented)…
Conformal Patterson-Walker metrics
Matthias Hammerl, Katja Sagerschnig, Josef Šilhan +2
The classical Patterson-Walker construction of a split-signature (pseudo-)Riemannian structure from a given torsion-free affine connection is generalized to a construction of a spl…
New relations between -geometries in dimensions 5 and 7
Thomas Leistner, Pawel Nurowski, Katja Sagerschnig
There are two well-known parabolic split -geometries in dimension five, -distributions and -contact structures. Here we link these two geometries with yet anothe…