Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hopf surfaces in locally conformally Kahler manifolds with potential   An LCK manifold with potential is a compact quotient M of a Kahler manifold X
equipped with a positive plurisubharmonic function f, such that the monodromy
group acts on $X$ by holomorphic homotheties and maps f to a function
proportional to f. It is known that M admits an LCK potential if and only if it
can be holomorphically embedded to a Hopf manifold. We prove that any
non-Vaisman LCK manifold with potential contains a complex surface with
normalization biholomorphic to a Hopf surface H. Moreover, H can be chosen
non-diagonal, hence, also not admitting a Vaisman structure.

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The categories of this paper are: adap-org
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The categories of this paper are: gr-qc
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The categories of this paper are: stat
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The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: cs
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The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: physics
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The categories of this paper are: hep-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: cond-mat