Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Hamiltonian stable Lagrangian tori in complex hyperbolic spaces   In this paper, we investigate the Hamiltonian-stability of Lagrangian tori in
the complex hyperbolic space $\mathbb{C}H^n$. We consider a standard
Hamiltonian $T^n$-action on $\mathbb{C}H^n$, and show that every Lagrangian
$T^n$-orbits in $\mathbb{C}H^n$ is H-stable when $n\leq 2$ and there exist
infinitely many H-unstable $T^n$-orbits when $n\geq 3$. On the other hand, we
prove a monotone $T^n$-orbit in $\mathbb{C}H^n$ is H-stable and rigid for any
$n$. Moreover, we see almost all Lagrangian $T^n$-orbits in $\mathbb{C}H^n$ are
not Hamiltonian volume minimizing when $n\geq 3$ as well as the case of
$\mathbb{C}^n$ and $\mathbb{C}P^n$.

33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat