Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: "Universal" inequalities for the eigenvalues of the biharmonic operator   In this paper, we establish universal inequalities for eigenvalues of the
clamped plate problem on compact submanifolds of Euclidean spaces, of spheres
and of real, complex and quaternionic projective spaces. We also prove similar
results for the biharmonic operator on domains of Riemannian manifolds
admitting spherical eigenmaps (this includes the compact homogeneous Riemannian
spaces) and nally on domains of the hyperbolic space.

8
The categories of this paper are: hep-ex
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
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The categories of this paper are: econ
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
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The categories of this paper are: nlin
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The categories of this paper are: q-fin
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The categories of this paper are: eess
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The categories of this paper are: cs
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The categories of this paper are: adap-org
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The categories of this paper are: hep-th