Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Developable Mannheim Offsets of Timelike Ruled Surfaces   In this paper, using the classifications of timelike and spacelike ruled
surfaces, we study the Mannheim offsets of timelike ruled surfaces in Minkowski
3-space. Firstly, we define the Mannheim offsets of a timelike ruled surface by
considering the Lorentzian casual character of the offset surface. We obtain
that the Mannheim offsets of a timelike ruled surface may be timelike or
spacelike. Furthermore, we characterize the developable of Mannheim offset of a
timelike ruled surface by the derivative of the conical curvature of the
directing cone.

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The categories of this paper are: hep-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
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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: dg-ga
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The categories of this paper are: hep-lat
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The categories of this paper are: cond-mat
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: q-bio
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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: patt-sol