5 citations · 12 across the 6 of their papers we have counts for
7 papers
Higher symmetries of symplectic Dirac operator
Petr Somberg, Josef Šilhan
We construct in projective differential geometry of the real dimension higher symmetry algebra of the symplectic Dirac operator ${D}\kern-0.5em\raise0.22ex\hbox{/}_s$ acting on…
Fefferman-Graham ambient metrics of Patterson-Walker metrics
Matthias Hammerl, Katja Sagerschnig, Josef Šilhan +2
Given an -dimensional manifold with an affine connection , we show that the associated Patterson-Walker metric on admits a global and explicit Fefferman-Graham…
Conformal operators on weighted forms; their decomposition and null space on Einstein manifolds
A. Rod Gover, Josef Silhan
There is a class of Laplacian like conformally invariant differential operators on differential forms which may be considered the generalisation to differential forms of…
On a new normalization for tractor covariant derivatives
Matthias Hammerl, Petr Somberg, Vladimir Soucek +1
A regular normal parabolic geometry of type on a manifold gives rise to sequences of invariant differential operators, known as the curved version of the BGG resolu…
Higher symmetries of the conformal powers of the Laplacian on conformally flat manifolds
A. Rod Gover, Josef Silhan
On locally conformally flat manifolds we describe a construction which maps generalised conformal Killing tensors to differential operators which may act on any conformally weighte…
Commuting linear operators and algebraic decompositions
A. Rod Gover, Josef Silhan
For commuting linear operators we describe a range of conditions which are weaker than invertibility. When any of these conditions hold we may study the compo…