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arxiv: 1010.3104 · v1 · pith:VOV7ABEHnew · submitted 2010-10-15 · 🧮 math.DG

Second Eigenvalue of Paneitz Operators and Mean Curvature

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keywords dimensionaleigenvalueoperatorspaneitzsecondcompactcurvatureestimate
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For $n\geq 7$, we give the optimal estimate for the second eigenvalue of Paneitz operators for compact $n$-dimensional submanifolds in an $(n+p)$-dimensional space form.

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