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arXiv:1010.3102 [math.DG]AbstractReferencesReviewsResources

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

Daguang Chen, Haizhong Li

Published 2010-10-15Version 1

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.

Categories: math.DG
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