3 citations · 4 across the 8 of their papers we have counts for
6 papers · 1 filter
Quantitative Quermassintegral Inequalities for Nearly Spherical Sets
Caroline VanBlargan, Yi Wang
In this paper, we establish quantitative Alexandrov-Fenchel inequalities for quermassintegrals on nearly spherical sets. In particular, we bound the -isoperimetric deficit f…
The Yamabe flow on asymptotically flat manifolds
Eric Chen, Yi Wang
We study the Yamabe flow starting from an asymptotically flat manifold . We show that the flow converges to an asymptotically flat, scalar flat metric in a weighted glob…
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_…
On the Sobolev-Poincare inequality of CR-manifolds
Yi Wang, Paul Yang
The purpose is to study the CR-manifold with a contact structure conformal to the Heisenberg group. In our previous work \cite{WY}, we have proved that if the -curvature is non…
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…
Integrability of scalar curvature and normal metric on conformally flat manifolds
Shengwen Wang, Yi Wang
On a manifold , we say is normal if the -curvature equation that satisfies can be written as the integ…