3 citations · 6 across the 5 of their papers we have counts for
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Conformal deformations of the smallest eigenvalue of the Ricci tensor
Pengfei Guan, Guofang Wang
We consider deformations of metrics in a given conformal class such that the smallest eigenvalue of the Ricci tensor to be a constant. It is related to the notion of minimal volume…
On a fully nonlinear Yamabe problem
Yuxin Ge, Guofang Wang
We solve the -Yamabe problem for a non locally conformally flat manifold of dimension .
Dirac-Harmonic Maps
Qun Chen, Juergen Jost, Jiayu Li +1
We introduce a functional that couples the nonlinear sigma model with a spinor field: $L=\int_M[|dϕ|^2+(ψ,\Dψ)]$. In two dimensions, it is conformally invariant. The critical point…
Regularity Theorems and Energy Identities for Dirac-Harmonic Maps
Qun Chen, Juergen Jost, Guofang Wang +1
We study a new set of coupled field equations motivated by the non-linear supersymmetric sigma model of quantum field theory. These equations couple a map into a Riemannian manifol…
Mean curvature flow with flat normal bundles
Knut Smoczyk, Guofang Wang, Y. L. Xin
We show that flatness of the normal bundle is preserved under the mean curvature flow in the Euclidean space and use this to generalize a classical result for hypersurfaces due to…