Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Variational Convergence of Discrete Geometrically-Incompatible Elastic
  Models   We derive a continuum model for incompatible elasticity as a variational
limit of a family of discrete nearest-neighbor elastic models. The discrete
models are based on discretizations of a smooth Riemannian manifold
$(M,\mathfrak{g})$, endowed with a flat, symmetric connection $\nabla$. The
metric $\mathfrak{g}$ determines local equilibrium distances between
neighboring points; the connection $\nabla$ induces a lattice structure shared
by all the discrete models. The limit model satisfies a fundamental rigidity
property: there are no stress-free configurations, unless $\mathfrak{g}$ is
flat, i.e., has zero Riemann curvature. Our analysis focuses on two-dimensional
systems, however, all our results readily generalize to higher dimensions.

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The categories of this paper are: patt-sol
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: gr-qc
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The categories of this paper are: funct-an
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The categories of this paper are: astro-ph
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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: dg-ga
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The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
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The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: q-bio