Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Principal bundles of embeddings and nonlinear Grassmannians   We present several principal bundles of embeddings of compact manifolds (with
or without boundary) whose base manifolds are nonlinear Grassmannians. We study
their infinite dimensional differential manifold structure in the Fr\'echet
category. This study is motivated by the occurrence of such objects in the
geometric Lagrangian formulation of free boundary continuum mechanics and in
the study of the associated infinite dimensional dual pairs structures.

31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
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The categories of this paper are: nlin
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio