Journals
Publish with us
Publishing partnerships
About us
Blog
Advances in Mathematical Physics
Journal overview
For authors
For reviewers
For editors
Table of Contents
Special Issues
Advances in Mathematical Physics
/
2011
/
Article
/
Fig 2
/
Research Article
Integer Solutions of Integral Inequalities and
𝐻
-Invariant Jacobian Poisson Structures
Figure 2
An example of the polytope
𝑇
4
in the case
𝑟
=
4
. The vertices are in
(
−
1
/
2
,
𝑟
−
1
/
2
,
2
𝑟
−
1
/
2
)
,
(
𝑟
−
2
/
3
,
2
𝑟
−
2
/
3
,
3
𝑟
−
2
/
3
)
,
(
𝑟
,
2
𝑟
−
1
,
3
𝑟
−
1
)
,
(
𝑟
,
2
𝑟
,
3
𝑟
−
2
)
,
(
2
𝑟
−
1
/
2
,
3
𝑟
−
1
/
2
,
−
1
/
2
)
, and
(
3
𝑟
−
1
/
2
,
−
1
/
2
,
𝑟
−
1
/
2
)
.