Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the derivatives of the Lempert functions   We show that if the Kobayashi--Royden metric of a complex manifold is
continuous and positive at a given point and any non-zero tangent vector, then
the "derivatives" of the higher order Lempert functions exist and equal the
respective Kobayashi metrics at the point. It is a generalization of a result
by M. Kobayashi for taut manifolds.

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The categories of this paper are: math-ph
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The categories of this paper are: econ
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The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
3
The categories of this paper are: physics
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
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The categories of this paper are: mtrl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: nlin
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The categories of this paper are: funct-an
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The categories of this paper are: astro-ph