Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Kaehler submanifolds of hyperbolic space   We present several local and global results on isometric immersions of
Kaehler manifolds $M^{2n}$ into hyperbolic space $\Hy^{2n+p}$. For instance, a
classification is given in the case of dimension $n\geq 4$ and codimension
$p=2$. Moreover, as corollaries of general results, we conclude that there are
no isometric immersion in codimension $p\leq n-2$ if the Kaehler manifold is of
dimension $n\geq 4$ and either has a point of positive holomorphic sectional
curvature or is compact.

31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
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The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an