The sharp estimates for the first eigenvalue of Paneitz operator on 4-dimensional submanifolds

Daguang Chen; Haizhong Li

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arXiv · 1010.3102

The sharp estimates for the first eigenvalue of Paneitz operator on 4-dimensional submanifolds

Daguang Chen·Haizhong Li

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Abstract

In this note, we obtain the sharp estimates for the first eigenvalue of Paneitz operator for $4$-dimensional compact submanifolds in Euclidean space. Since unit spheres and projective spaces can be canonically imbedded into Euclidean space, the corresponding estimates for the first eigenvalue are also obtained.

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BibTeX RIS

Daguang Chen, Haizhong Li. 2010-10-15. The sharp estimates for the first eigenvalue of Paneitz operator on 4-dimensional submanifolds. https://arxiv.org/abs/1010.3102

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