12 citations · 24 across the 10 of their papers we have counts for
11 papers
Local and global conformal invariants of submanifolds
Jeffrey S. Case, Ayush Khaitan, Yueh-Ju Lin +2
We develop methods for constructing and computing conformal invariants of submanifolds, with a particular emphasis on conformal submanifold scalars and conformally invariant integr…
Computing renormalized curvature integrals on Poincaré-Einstein manifolds
Jeffrey S. Case, Ayush Khaitan, Yueh-Ju Lin +2
We describe a general procedure for computing renormalized curvature integrals on Poincaré-Einstein manifolds. In particular, we explain the connection between the Gauss-Bonnet-typ…
A fourth-order Cherrier-Escobar problem with prescribed corner behavior on the half-ball
Jeffrey S. Case, Yueh-Ju Lin, Stephen E. McKeown +2
We show that the half-ball in can be conformally changed so that the only contribution to the Gauss--Bonnet formula is a constant term at the corner. This may be see…
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…
Deformations of Q-curvature II
Yueh-Ju Lin, Wei Yuan
This is the second article of a sequence of research on deformations of Q-curvature. In the previous one, we studied local stability and rigidity phenomena of Q-curvature. In this…
Some constructions of formally self-adjoint conformally covariant polydifferential operators
Jeffrey S. Case, Yueh-Ju Lin, Wei Yuan
We introduce the notion of formally self-adjoint conformally covariant polydifferential operators and give some constructions of families of such operators. In one direction, we sh…
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…
A symmetric 2-tensor canonically associated to Q-curvature and its applications
Yueh-Ju Lin, Wei Yuan
In this article, we define a symmetric 2-tensor canonically associated to Q-curvature called J-tensor on any Riemannian manifold with dimension at least three. The relation between…
Deformations of Q-curvature I
Yueh-Ju Lin, Wei Yuan
In this article, we investigate deformation problems of -curvature on closed Riemannian manifolds. One of the most crucial notions we use is the -singular space, which was in…
Riemannian manifolds with positive Yamabe invariant and Paneitz operator
Matthew J. Gursky, Fengbo Hang, Yueh-Ju Lin
For a Riemannian manifold with dimension at least six, we prove that the existence of a conformal metric with positive scalar and Q curvature is equivalent to the positivity of bot…
Connected sum construction of constant Q-curvature manifolds in higher dimensions
Yueh-Ju Lin
For a compact Riemannian manifold with constant -curvature of dimension satisfying nondegeneracy condition, we show that one can construct many examples of…