6 citations · 17 across the 8 of their papers we have counts for
10 papers · 1 filter
The Lichnerowicz--Obata theorem for the Kohn Laplacian in three dimensions
Jeffrey S. Case, Paul Yang
We prove rigidity for the Lichnerowicz-type eigenvalue estimate for the Kohn Laplacian on strictly pseudoconvex three-manifolds with nonnegative CR Paneitz operator and positive We…
-curvatures in higher dimensions and the Hirachi conjecture
Jeffrey S. Case, Yuya Takeuchi
We construct higher-dimensional analogues of the -curvature of Case and Gover in all CR dimensions . Our -curvatures all transform b…
The Frank-Lieb approach to sharp Sobolev inequalities
Jeffrey S. Case
Frank and Lieb gave a new, rearrangement-free, proof of the sharp Hardy-Littlewood-Sobolev inequalities by exploiting their conformal covariance. Using this they gave new proofs of…
Boundary operators associated to the sixth-order GJMS operator
Jeffrey S. Case, Weiyu Luo
We describe a set of conformally covariant boundary operators associated to the sixth-order GJMS operator on a conformally invariant class of manifolds which includes compactificat…
Nonuniqueness for a fully nonlinear boundary Yamabe-type problem via bifurcation theory
Jeffrey S. Case, Ana Claudia Moreira, Yi Wang
One way to generalize the boundary Yamabe problem posed by Escobar is to ask if a given metric on a compact manifold with boundary can be conformally deformed to have vanishing $σ_…
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…