7 citations · 11 across the 3 of their papers we have counts for
4 papers · 1 filter
Electromagnetism, metric deformations, ellipticity and gauge operators on conformal 4-manifolds
Thomas Branson, A. Rod Gover
On Riemannian signature conformal 4-manifolds we give a conformally invariant extension of the Maxwell operator on 1-forms. We show the extension is in an appropriate sense injecti…
Bochner-Weitzenboeck formulas associated with the Rarita-Schwinger operator
Thomas Branson, Oussama Hijazi
In this paper, we establish basic material for future investigations of the analysis and geometry of the twistor bundle, and of differential operators with the twistor bundle as so…
Curvature actions on Spin(n) bundles
Collin Bennett, Thomas Branson
We compute the number of linearly independent ways in which a tensor of Weyl type may act upon a given irreducible tensor-spinor bundle V over a Riemannian manifold. Together with…
A discrete leading symbol and spectral asymptotics for natural differential operators
Ivan Avramidi, Thomas Branson
We initiate a systematic study of natural differential operators in Riemannian geometry whose leading symbols are not of Laplace type. In particular, we define a discrete leading s…