22 citations · 45 across the 10 of their papers we have counts for
13 papers · 1 filter
Geometry of conic connections
Andreas Čap, Katharina Neusser
A cone structure on a complex manifold is a closed submanifold of the projectivized tangent bundle of that is submersive over . So this…
An Embedding Theorem for Tractor Bundles, and an Application in Conformal Pseudo-Riemannian Geometry
Karin Melnick, Katharina Neusser
We provide an extension of the Gromov-Zimmer embedding theorem for Cartan geometries of [Bader U., Frances C., Melnick K., Geom. Funct. Anal. 19 (2009), 333-355, arXiv:0709.3844] t…
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…
Cone structures and parabolic geometries
Jun-Muk Hwang, Katharina Neusser
A cone structure on a complex manifold is a closed submanifold of the projectivized tangent bundle which is submersive over . A conic conne…
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…
On the groups of c-projective transformations of complete Kähler manifolds
Vladimir S. Matveev, Katharina Neusser
We show that for any complete connected Kähler manifold the index of the group of complex affine transformations in the group of c-projective transformations is at most two unless…
A canonical connection on sub-Riemannian contact manifolds
Michael Eastwood, Katharina Neusser
We construct a canonically defined affine connection in sub-Riemannian contact geometry. Our method mimics that of the Levi-Civita connection in Riemannian geometry. We compare it…
C-projective geometry
David M. J. Calderbank, Michael G. Eastwood, Vladimir S. Matveev +1
We develop in detail the theory of c-projective geometry, a natural analogue of projective differential geometry adapted to complex manifolds. We realise it as a type of parabolic…
Strongly essential flows on irreducible parabolic geometries
Karin Melnick, Katharina Neusser
We study the local geometry of irreducible parabolic geometries admitting strongly essential flows; these are flows by local automorphisms with higher-order fixed points. We prove…
Some differential complexes within and beyond parabolic geometry
Robert L. Bryant, Michael G. Eastwood, A. Rod Gover +1
For smooth manifolds equipped with various geometric structures, we construct complexes that replace the de Rham complex in providing an alternative fine resolution of the sheaf of…
Prolongation on regular infinitesimal flag manifolds
Katharina Neusser
Many interesting geometric structures can be described as regular infinitesimal flag structures, which occur as the underlying structures of parabolic geometries. Among these struc…
Universal Prolongation of Linear Partial Differential Equations on Filtered Manifolds
Katharina Neusser
The aim of this article is to show that systems of linear partial differential equations on filtered manifolds, which are of weighted finite type, can be canonically rewritten as f…
On automorphism groups of some types of generic distributions
Andreas Cap, Katharina Neusser
To certain types of generic distributions (subbundles in a tangent bundle) one can associate canonical Cartan connections. Many of these constructions fall into the class of parabo…