Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Kaehler angles of submanifolds   We prove that under certain conditions on the mean curvature and on the
Kaehler angles, a compact submanifold M of real dimension 2n, immersed into a
Kaehler-Einstein manifold N of complex dimension 2n, must be either a complex
or a Lagrangian submanifold of N, or have constant Kaehler angle, depending on
n=1, n=2, or n \geq 3, and the sign of the scalar curvature of N. These results
generalize to non-minimal submanifolds some known results for minimal
submanifolds. Our main tool is a Bochner-type technique involving a formula on
the Laplacian of a symmetric function on the Kaehler angles and the
Weitzenboeck formula for the Kaehler form of N restricted to M.

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The categories of this paper are: physics
28
The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: cs
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The categories of this paper are: ao-sci
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The categories of this paper are: math-ph