Geodesic
Eigenvalue relationships between Laplacians of constant mean curvature hypersurfaces in $\mathbb{S}^{n+1}$
Communications in Mathematics, Tome 21 (2013) no. 1, pp. 31-38 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
Classification : 58J50
Keywords: hypersurface with constant mean curvature; the stability operator; Hodge Laplacian; rough Laplacian 
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Ma, Bingqing; Huang, Guangyue. Eigenvalue relationships between Laplacians of constant mean curvature hypersurfaces in $\mathbb{S}^{n+1}$. Communications in Mathematics, Tome 21 (2013) no. 1, pp. 31-38. http://geodesic.mathdoc.fr/item/COMIM_2013_21_1_a2/

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