13 citations · 38 across the 9 of their papers we have counts for
11 papers
Projective geometry of 3-Sasaki structures
A. Rod Gover, Katharina Neusser, Travis Willse
We show that -Sasaki structures admit a natural description in terms of projective differential geometry. This description provides a concrete link between -Sasaki structures…
Chains of path geometries on surfaces: theory and examples
Gil Bor, Travis Willse
We derive the equations of chains for path geometries on surfaces by solving the equivalence problem of a related structure: sub-Riemannian geometry of signature on a conta…
Homogeneous Real (2,3,5) Distributions with Isotropy
Travis Willse
We classify multiply transitive homogeneous real (2,3,5) distributions up to local diffeomorphism equivalence.
Projective geometry of Sasaki-Einstein structures and their compactification
A. Rod Gover, Katharina Neusser, Travis Willse
We show that the standard definitions of Sasaki structures have elegant and simplifying interpretations in terms of projective differential geometry. For Sasaki-Einstein structures…
The almost Einstein operator for distributions
Katja Sagerschnig, Travis Willse
For the geometry of oriented distributions , which correspond to regular, normal parabolic geometries of type for a particular par…
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)…
Cartan's incomplete classification and an explicit ambient metric of holonomy
Travis Willse
In his 1910 "Five Variables" paper, Cartan solved the equivalence problem for the geometry of distributions and in doing so demonstrated an intimate link between this g…
Nearly Kähler Geometry and -Distributions via Projective Holonomy
Rod Gover, Roberto Panai, Travis Willse
We show that any dimension nearly Kähler (or nearly para-Kähler) geometry arises as a projective manifold equipped with a holonomy reduction. In the conver…
Highly symmetric 2-plane fields on 5-manifolds and 5-dimensional Heisenberg group holonomy
Travis Willse
Nurowski showed that any generic 2-plane field on a 5-manifold determines a natural conformal structure on ; these conformal structures are exactly those (on orien…
Subtleties Concerning Conformal Tractor Bundles
C. Robin Graham, Travis Willse
The realization of tractor bundles as associated bundles in conformal geometry is studied. It is shown that different natural choices of principal bundle with normal Cartan connect…
Parallel tractor extension and ambient metrics of holonomy split G_2
C. Robin Graham, Travis Willse
The holonomy of the ambient metrics of Nurowski's conformal structures associated to generic real-analytic 2-plane fields on 5-manifolds is investigated. It is shown that the holon…