102 citations · 187 across the 16 of their papers we have counts for
16 papers
Extrinsic Paneitz operators and -curvatures for hypersurfaces
Andreas Juhl
For any hypersurface of a Riemannian manifold , recent works introduced the notions of extrinsic conformal Laplacians and extrinsic -curvatures. Here we derive explicit f…
Extrinsic Paneitz operators and Q-curvatures for hypersurfaces
Andreas Juhl
For any hypersurface of a Riemannian manifold, recent works introduced the notions of extrinsic conformal Laplacians and extrinsic Q-curvatures. Here we announce explicit formulas…
On singular Yamabe obstructions
Andreas Juhl, Bent Orsted
We discuss the singular Yamabe obstruction of a hypersurface in a four-dimensional general background. We derive various explicit formula for from t…
Residue families, singular Yamabe problems and extrinsic conformal Laplacians
Andreas Juhl, Bent Orsted
Let be a compact manifold with boundary and a defining function of . To these data, we associate natural conformally covariant polynomial one-parameter familie…
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…
Heat kernel expansions, ambient metrics and conformal invariants
Andreas Juhl
The conformal powers of the Laplacian of a Riemannian metric which are known as the GJMS-operators admit a combinatorial description in terms of the Taylor coefficients of a natura…
Explicit formulas for GJMS-operators and -curvatures
Andreas Juhl
We describe GJMS-operators as linear combinations of compositions of natural second-order differential operators. These are defined in terms of Poincaré-Einstein metrics and renorm…
On the recursive structure of Branson's Q-curvature
Andreas Juhl
We prove universal recursive formulas for Branson's -curvatures in terms of respective lower-order -curvatures, lower-order GJMS-operators and holographic coefficients.
Holographic formula for -curvature. II
Andreas Juhl
We extend the holographic formula for the critical -curvature to all -curvatures.
On Branson's -curvature of order eight
Andreas Juhl
We prove a universal recursive formulas for Branson's -curvature of order eight in terms of lower-order -curvatures, lower-order GJMS-operators and holographic coefficients.…
Summation formulas for GJMS-operators and Q-curvatures on the Möbius sphere
Andreas Juhl, Christian Krattenthaler
For the Möbius spheres , we give alternative elementary proofs of the recursive formulas for GJMS-operators and -curvatures due to the first author [Geom. Funct. Anal.…
On conformally covariant powers of the Laplacian
Andreas Juhl
We propose and discuss recursive formulas for conformally covariant powers of the Laplacian (GJMS-operators). For locally conformally flat metrics, these describe the non-…
Universal recursive formulae for Q-curvatures
Carsten Falk, Andreas Juhl
We formulate and discuss two conjectures concerning recursive formulae for Branson's -curvatures. The proposed formulae describe all -curvatures on manifolds of all even dime…
Holographic formula for Q-curvature
C. Robin Graham, Andreas Juhl
This paper derives an explicit formula for Branson's Q-curvature in even-dimensional conformal geometry. The ingredients in the formula come from the Poincare metric in one higher…
Secondary invariants and the singularity of the Ruelle zeta-function in the central critical point
Andreas Juhl
The Ruelle zeta-function of the geodesic flow on the sphere bundle of an even-dimensional compact locally symmetric space of rank is a meromorphic function in the co…