4 citations · 4 across the 3 of their papers we have counts for
5 papers · 1 filter
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…
Brown-York mass and positive scalar curvature II - Besse's conjecture and related problems
Yi Fang, Wei Yuan
The Besse's conjecture was posted on the well-known book Einstein manifolds by Arthur L. Besse, which describes the critical point of Hilbert-Einstein functional with constraint of…
Brown-York mass and positive scalar curvature I - First eigenvalue problem and its applications
Wei Yuan
In this article, we investigate the connection between scalar curvature and first eigenfunctions via positive mass theorem for Brown-York mass. For compact manifolds with nice boun…
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…
On Brown-York mass and compactly conformal deformations of scalar curvature
Wei Yuan
In this article, we found a connection between Brown-York mass and the first Dirichlet Eigenvalue of a Schrödingier type operator. In particular, we proved a local positive mass ty…