L2 harmonic 2-forms on minimal hypersurfaces in spheres

We show that a complete noncompact minimal hypersurface M in Sn+1(n≥3) admits no nontrivial L2 harmonic 2-form if the total curvature is bounded above by a constant depending only on the dimension of M. It implies that the second space of reduced L2 cohomology of M is trivial. This result is a generalized version of the result of Gan and Zhu on L2 harmonic 1-forms.