L² harmonic forms on a complete stable hypersurfaces with constant mean curvature

抄録

We show that an n-dimensional (2≤n≤5) complete noncompact strongly stable hypersurface M with constant mean curvature in an (n+1)-dimensional manifold \bar{M} of nonnegative bi-Ricci curvature admits no nontrivial L² harmonic 1-forms.