arXiv 0804.01042008-04math.DGmath.SP

Prescription de la multiplicité des valeurs propres du laplacien de Hodge-de Rham

Pierre Jammes

备注：: 19 pages, in french
发表信息：: Comment. Math. Helv. 86 (2011), no. 4, 967-984
DOI：: 10.4171/CMH/245

英文摘要：

On any compact manifold of dimension greater than 6, we prescribe the volume and any finite part of the spectrum Hodge Laplacian acting on $p$-form for $1\leq p<\frac n2$. In particular, we prescribe the multiplicity of the first eigenvalues.

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