64 citations · 230 across the 42 of their papers we have counts for
57 papers
Conformal Loxodromes
Michael Eastwood
In conformal differential geometry, there are some distinguished curves, often known as 'conformal circles,' since, on the round sphere, they are the round circles (and these are c…
The range of a connection and a Calabi operator for Lorentzian locally symmetric spaces
Federico Costanza, Michael Eastwood, Thomas Leistner +1
For semi-Riemannian manifolds of constant sectional curvature, the Calabi operator is a second order linear differential operator that provides local integrability conditions for t…
The linearised Einstein equations as a gauge theory
Michael Eastwood
We linearise the Einstein vacuum equations with a cosmological constant via the Calabi operator from projective differential geometry.
Spinors in Five-Dimensional Contact Geometry
Michael Eastwood, Timothy Moy
We use classical (Penrose) two-component spinors to set up the differential geometry of two parabolic contact structures in five dimensions, namely contact geometry and Legen…
A Calabi operator for Riemannian locally symmetric spaces
Federico Costanza, Michael Eastwood, Thomas Leistner +1
On a Riemannian manifold of constant curvature, the Calabi operator is a second order linear differential operator that provides local integrability conditions for the range of the…
Modular forms, projective structures, and the four squares theorem
Michael Eastwood, Ben Moore
It is well-known that Lagrange's four-square theorem, stating that every natural number may be written as the sum of four squares, may be proved using methods from the classical th…