2012 Fiscal Year Final Research Report
Research on spaces of non-positive curvature with group actions and Coxeter groups
| Project/Area Number |
21740037
|
|---|
| Research Category |
Grant-in-Aid for Young Scientists (B)
|
| Allocation Type | Single-year Grants |
|---|
| Research Field |
Geometry
|
|---|
| Research Institution | Shizuoka University (2011-2012)
Utsunomiya University (2009-2010) |
|---|
Principal Investigator |
|
|---|
| Project Period (FY) |
2009 – 2012
|
| Keywords | 幾何学的群論 / 位相幾何学 |
|---|
| Research Abstract |
I have obtained some results on CAT(0) groups, CAT(0) spaces, their boundaries and Coxeter groups. First, I proved a "splitting theorem" for CAT(0) spaces, and obtained that products of rigid CAT(0) groups are also rigid CAT(0). Next, I had some results on equivariant-homeomorphisms of boundaries of CAT(0) groups. Also I obtained results on algebraic rigidity of Coxeter groups and on graph theory by investigating corresponding Coxeter groups.
|
Research Products
(17 results)
