Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some families of special Lagrangian tori   We give a simple proof of the local version of a result of R. Bryant, stating
that any 3-dimensional Riemannian manifold can be isometrically embedded as a
special Lagrangian submanifold in a Calabi-Yau manifold. We refine the theorem
proving that a certain class of one-parameter families of metrics on a 3-torus
can be isometrically embedded in a Calabi-Yau manifold as a one-parameter
family of special Lagrangian submanifolds. We use our examples of one-parameter
families to show that the semi-flat metric on the mirror manifold proposed be
N. Hitchin is not necessarily Ricci-flat in dimension 3.

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The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
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The categories of this paper are: econ
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The categories of this paper are: acc-phys
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The categories of this paper are: math-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: astro-ph
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
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The categories of this paper are: nlin
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The categories of this paper are: nucl-th