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Keywords:
hypersurface with constant mean curvature; the stability operator; Hodge Laplacian; rough Laplacian
hypersurface with constant mean curvature; the stability operator; Hodge Laplacian; rough Laplacian
Summary:
For compact hypersurfaces with constant mean curvature in the unit sphere, we give a comparison theorem between eigenvalues of the stability operator and that of the Hodge Laplacian on 1-forms. Furthermore, we also establish a comparison theorem between eigenvalues of the stability operator and that of the rough Laplacian.
References:
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