6 papers
On the stability of the Yamabe invariant of
Liam Mazurowski, Xuan Yao
Let be a complete, asymptotically flat metric on with vanishing scalar curvature. Moreover, assume that supports a nearly Euclidean Sobo…
Generalized -stability theorem
Tongrui Wang, Xuan Yao
We use the equivariant -bubbles technique to prove that for any compact manifold with non-empty boundary, , the Yamabe invariant of is positive if and…
Improved Hebey-Vaugon conjecture on equivariant Yamabe invariants in dimension 3
Tongrui Wang, Xuan Yao
Consider a closed connected -manifold acted diffeomorphically on by a compact Lie group with at least one orbit of finite cardinality. We show an upper bound for the …
The Yamabe Invariant of via Harmonic Functions
Liam Mazurowski, Xuan Yao
We use harmonic functions to give a new proof of a result of Bray and Neves on the Yamabe invariant of
On the Yamabe invariant of certain compact manifolds with boundary
Xuan Yao
We generalize Kobayashi's connected-sum inequality to the -Yamabe invariants. As an application, we calculate the -Yamabe invariants of $\#m_1\mathbb{RP}^n\# m_2(\mathbb{RP}^…
Pandemic Control, Game Theory and Machine Learning
Yao Xuan, Robert Balkin, Jiequn Han +2
Game theory has been an effective tool in the control of disease spread and in suggesting optimal policies at both individual and area levels. In this AMS Notices article, we focus…