37 citations · 121 across the 50 of their papers we have counts for
51 papers
An Almost Flat Spin Manifold Bounds
Fei Han, Ruizhi Huang, Weiping Zhang
We prove that every almost flat spin^ manifold bounds a compact orientable manifold, thereby settling, in the spin^ case, a long-standing conjecture of Farrell--Zdravkovska a…
On the generalized Geroch conjecture for complete spin manifolds
Xiangsheng Wang, Weiping Zhang
Let be a closed area enlargeable manifold in the sense of Gromov-Lawson and be a noncompact spin manifold, we show that the connected sum admits no complete metric…
Nonnegative scalar curvature and area decreasing maps on complete foliated manifolds
Guangxiang Su, Xiangsheng Wang, Weiping Zhang
Let be a noncompact complete Riemannian manifold of dimension , and let be an integrable subbundle of . Let be the restricted…
Cubic forms, anomaly cancellation and modularity
Fei Han, Ruizhi Huang, Kefeng Liu +1
Motivated by the cubic forms and anomaly cancellation formulas of Witten-Freed-Hopkins, we give some new cubic forms on spin, spin, spin and orientable 12-manifolds res…
Nonnegative Scalar Curvature and Area Decreasing Maps
Weiping Zhang
Let be a noncompact complete spin Riemannian manifold of even dimension , with denote the associated scalar curvature. Let $f\colon M\rightarrow S^…
Positive scalar curvature on foliations: the noncompact case
Guangxiang Su, Weiping Zhang
Let be a noncompact (not necessarily complete) enlargeable Riemannian manifold in the sense of Gromov-Lawson and an integrable subbundle of . Let be th…