Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence of Infinitely Many Minimal Hypersurfaces in Higher-dimensional
  Closed Manifolds with Generic Metrics   In this paper, we show that a closed manifold $M^{n+1} (n \geq 7)$ endowed
with a $C^\infty$-generic (Baire sense) metric contains infinitely many
singular minimal hypersurfaces with optimal regularity. Moreover, for $2 \leq n
\leq 6$, our argument also implies the denseness of the minimal hypersurfaces
realizing min-max widths for generic metrics. This partially supports
equidistribution of the minimal hypersurfaces realizing min-max widths
conjectured by F.C. Marques, A. Neves and A. Song.

15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph