10 citations · 23 across the 6 of their papers we have counts for
6 papers · 1 filter
Shift operators, residue families and degenerate Laplacians
M. Fischmann, A. Juhl, B. Ørsted
We introduce new aspects in conformal geometry of some very natural second-order differential operators. These operators are termed shift operators. In the flat space, they are int…
Conformal symmetry breaking differential operators on differential forms
M. Fischmann, A. Juhl, P. Somberg
We study conformal symmetry breaking differential operators which map differential forms on to differential forms on a codimension one subspace . T…
The boundary value problem for Laplacian on differential forms and conformally Einstein infinity
Matthias Fischmann, Petr Somberg
We completely resolve the boundary value problem for differential forms and conformally Einstein infinity in terms of the dual Hahn polynomials. Consequently, we produce explicit f…
On Conformal Powers of the Dirac Operator on Einstein Manifolds
Matthias Fischmann, Christian Krattenthaler, Petr Somberg
We determine the structure of conformal powers of the Dirac operator on Einstein {\it Spin}-manifolds in terms of the product formula for shifted Dirac operators. The result is bas…
Residue Family Operators on Spinors and Spectral Theory of Dirac operator on Poincaré-Einstein Spaces
Matthias Fischmann, Petr Somberg
We study conformal -subgeometry of submanifolds in a semi-Riemannian -manifold, focusing on conformal -manifolds and their Poincaré-Einstein metrics $(X…
On Conformal Powers of the Dirac Operator on Spin Manifolds
Matthias Fischmann
The well known conformal covariance of the Dirac operator acting on spinor fields over a semi Riemannian spin manifold does not extend to powers thereof in general. For odd powers…