75 citations · 263 across the 40 of their papers we have counts for
5 papers · 1 filter
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…
A CR invariant sphere theorem
Jeffrey S. Case, Paul Yang
We prove that every closed, universally embeddable CR three-manifold with nonnegative Yamabe constant and positive total -curvature is contact diffeomorphic to a quotient…
The Weighted Ambient Metric
Jeffrey S. Case, Ayush Khaitan
We prove the existence and uniqueness of weighted ambient metrics and weighted Poincaré metrics for smooth metric measure spaces.