7 citations · 12 across the 8 of their papers we have counts for
6 papers · 1 filter
Symmetries and Invariant Differential Pairings
Michael G. Eastwood
The purpose of this article is to motivate the study of invariant, and especially conformally invariant, differential pairings. Since a general theory is lacking, this work merely…
Monogenic Functions in Conformal Geometry
Michael Eastwood, John Ryan
Monogenic functions are basic to Clifford analysis. On Euclidean space they are defined as smooth functions with values in the corresponding Clifford algebra satisfying a certain s…
Preferred Parameterisations on Homogeneous Curves
Michael Eastwood, Jan Slovak
We show how to specify preferred parameterisations on a homogeneous curve in an arbitrary homogeneous space. We apply these results to limit the natural parameters on distinguished…
Some Special Geometry in Dimension Six
Andreas Cap, Michael Eastwood
We generalise the notion of contact manifold by allowing the contact distribution to have codimension two. There are special features in dimension six. In particular, we show that…
Cayley Hypersurfaces
Michael Eastwood, Vladimir Ezhov
We exhibit a family of homogeneous hypersurfaces in affine space, one in each dimension, generalising the Cayley surface.
Homogeneous Hypersurfaces with Isotropy in Affine Four-space
Michael Eastwood, Vladimir Ezhov
We classify the non-degenerate homogeneous hypersurfaces in real and complex affine four-space whose symmetry group is at least four-dimensional.