6 citations · 17 across the 8 of their papers we have counts for
4 papers · 1 filter
Conformally variational Riemannian invariants
Jeffrey S. Case, Yueh-Ju Lin, Wei Yuan
Conformally variational Riemannian invariants (CVIs), such as the scalar curvature, are homogeneous scalar invariants which arise as the gradient of a Riemannian functional. We est…
The -operator, the -curvature, and the CR tractor calculus
Jeffrey S. Case, A. Rod Gover
We establish an algorithm which computes formulae for the CR GJMS operators, the -operator, and the -curvature in terms of CR tractors. When applied to torsion-…
An integral formula for the -prime curvature in 3-dimensional CR geometry
Jeffrey S. Case, Jih-Hsin Cheng, Paul Yang
We give an integral formula for the total -curvature of a three-dimensional CR manifold with positive CR Yamabe constant and nonnegative Paneitz operator. Our derivation…
Boundary operators associated to the -curvature
Jeffrey S. Case, Yi Wang
We study conformal deformation problems on manifolds with boundary which include prescribing in the interior. In particular, we prove a Dirichlet principle when the in…