Conformal powers of the Laplacian via stereographic projection.
Graham, C.Robin (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Displaying similar documents to “-curvature, spectral invariants, and representation theory.”
Conformal powers of the Laplacian via stereographic projection.
Symmetries and invariant differential pairings.
Eastwood, Michael G. (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Spectral theory of invariant operators, sharp inequalities, and representation theory
Branson, Thomas
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The paper represents the lectures given by the author at the 16th Winter School on Geometry and Physics, Srni, Czech Republic, January 13-20, 1996. He develops in an elegant manner the theory of conformal covariants and the theory of functional determinant which is canonically associated to an elliptic operator on a compact pseudo-Riemannian manifold. The presentation is excellently realized with a lot of details, examples and open problems.
On conformal powers of the Dirac operator on spin manifolds
Matthias Fischmann (2014)
Archivum Mathematicum
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The well known conformal covariance of the Dirac operator acting on spinor fields does not extend to its powers in general. For odd powers of the Dirac operator we derive an algorithmic construction in terms of associated tractor bundles computing correction terms in order to achieve conformal covariance. These operators turn out to be formally (anti-) self-adjoint. Working out this algorithm we recover explicit formula for the conformal third and present a conformal fifth power of the...
Invariant prolongation of BGG-operators in conformal geometry
Matthias Hammerl (2008)
Archivum Mathematicum
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BGG-operators form sequences of invariant differential operators and the first of these is overdetermined. Interesting equations in conformal geometry described by these operators are those for Einstein scales, conformal Killing forms and conformal Killing tensors. We present a deformation procedure of the tractor connection which yields an invariant prolongation of the first operator. The explicit calculation is presented in the case of conformal Killing forms.
Conformal Dirichlet-Neumann maps and Poincaré-Einstein manifolds.
Gover, A.Rod (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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The research of Thomas P. Branson.
Eastwood, Michael G., Gover, A.Rod (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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About twistor spinors with zero in Lorentzian geometry.
Leitner, Felipe (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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