Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tight immersions and local differential geometry   An immersion of a compact manifold is tight if it admits the minimal total
absolute curvature over all immersions of the manifold. A prominent result in
the study of minimal total absolute curvature immersions is the theorem of
Chern and Lashof, which characterizes minimal total absolute curvature
immersions, and tight immersions, of spheres into a Euclidean space. In this
paper we examine tight immersions of highly connected manifolds; i.e.,
2k-dimensional manifolds that are (k-1)-connected by not k-connected, and
characterize the immersions of highest codimension.

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The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con