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

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

2010-10-15

arxiv.org/abs/1010.3102v1

Mathematics

Differential Geometry

Scientific paper

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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