Yukai Sun

collaborators

2 papers

math.DG2022

Compacitification and positive mass theorem for fibered Euclidean end

Xianzhe Dai, Yukai Sun

In this note, we consider the positive mass theorem for Riemannian manifolds $(M^{n}, g)$ asymptotic to $(R^{k} \times X^{n - k}, g_{R^{k}} + g_{X})$ for $k \geq 3$ by s…

math.DG2020

Gromov Rigidity of Bi-Invariant Metrics on Lie Groups and Homogeneous Spaces

Yukai Sun, Xianzhe Dai

Gromov asked if the bi-invariant metrics on a compact Lie group are extremal compared to any other metrics. In this note, we prove that the bi-invariant metrics on a compact connec…