Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Almost Kenmotsu Manifolds Admitting Certain Critical Metric   In the present paper, we introduce the notion of $\ast$-Miao-Tam critical
equation on almost contact metric manifolds and studied on a class of almost
Kenmotsu manifold. It is shown that if the metric of a $(2n + 1)$-dimensional
$(k,\mu)'$-almost Kenmotsu manifold $(M,g)$ satisfies the $\ast$-Miao-Tam
critical equation, then the manifold $(M,g)$ is $\ast$-Ricci flat and locally
isometric to the Riemannian product of a $(n + 1)$-dimensional manifold of
constant sectional curvature $-4$ and a flat $n$-dimensional manifold. Finally,
an illustrative example is presented to support the main theorem.

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The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: supr-con
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom
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The categories of this paper are: astro-ph
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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: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: hep-th