26 citations · 148 across the 44 of their papers we have counts for
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math.DG2014
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…
math.DG2014★ 1 cited
Prolongation of symmetric Killing tensors and commuting symmetries of the Laplace operator
J. -P. Michel, P. Somberg, J. Šilhan
We determine the space of commuting symmetries of the Laplace operator on pseudo-Riemannian manifolds of constant curvature, and derive its algebra structure. Our construction is b…
math.DG2014
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…