Han Lu

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math.DG2026

Green function asymptotics for the $σ_{2}$ -Yamabe problem

Bin Deng, Han Lu

We establish, at every pole, the asymptotic expansion of the normalized $Γ_{2}$ -Green function with a finite pole set in every dimension $n \geq 5$ . In dimensions $5 \leq n \leq 7$ the first…

math.DG2026

Blow-up phenomena for the $σ_{2}$ -Yamabe equation

Bin Deng, Han Lu, Jun-cheng Wei

For every integer $n \geq 27$ , we construct a smooth metric on $S^{n}$ that is invariant under the antipodal map and is not locally conformally flat. For this fixed background m…

Green function asymptotics for the σ2​-Yamabe problem

Blow-up phenomena for the σ2​-Yamabe equation

Green function asymptotics for the $σ_{2}$ -Yamabe problem

Blow-up phenomena for the $σ_{2}$ -Yamabe equation