75 citations · 263 across the 40 of their papers we have counts for
46 papers
Extrinsic GJMS operators for submanifolds
Jeffrey S. Case, C Robin Graham, Tzu-Mo Kuo
We derive extrinsic GJMS operators and -curvatures associated to a submanifold of a conformal manifold. The operators are conformally covariant scalar differential operators on…
A Sharp Inequality for Trace-Free Matrices with Applications to Hypersurfaces
Jeffrey S. Case, Aaron J. Tyrrell
We derive a sharp inequality relating the second and fourth elementary symmetric functions of the eigenvalues of a trace-free matrix and give two applications. First, we give a new…
The Neumann problem on the Clifford torus in
Jeffrey S. Case, Eric Chen, Yi Wang +2
We discuss the solution of the Neumann problem associated with the CR Yamabe operator on a subset of the CR manifold bounded by the Clifford torus . We also d…
Curved versions of the Ovsienko-Redou operators
Jeffrey S. Case, Yueh-Ju Lin, Wei Yuan
We give a complete classification of tangential bidifferential operators of total order at most which are expressed purely in terms of the Laplacian on the ambient space of an…
Global obstructions to conformally Einstein metrics in dimension six
Jeffrey S. Case
We present a global conformal invariant on closed six-manifolds which obstructs the existence of a conformally Einstein metric. We show that this obstruction is nontrivial and, up…
A simple construction of the Rumin algebra
Jeffrey S. Case
The Rumin algebra of a contact manifold is a contact invariant -algebra of differential forms which computes the de Rham cohomology algebra. We recover this fact by givin…