Convex functions on symmetric spaces, side lengths of polygons and stability inequalities for weighted configurations at infinity
| dc.creator | Kapovich, Misha | |
| dc.creator | Leeb, Bernhard | |
| dc.creator | Millson, John J. | |
| dc.date | 2003-11-26 | |
| dc.date | 2005-11-06 | |
| dc.date.accessioned | 2026-07-07T06:35:49Z | |
| dc.date.available | 2026-07-07T06:35:49Z | |
| dc.description | In a symmetric space of noncompact type X = G/K oriented geodesic segments correspond to points in the Euclidean Weyl chamber. We can hence assign vector-valued side-lengths to segments. Our main result is a system of homogeneous linear inequalities describing the restrictions on the side -lengths of closed polygons. The inequalities are based on the mod 2 Schubert calculus in the real Grassmannians G/P for maximal parabolic subgroups P. | |
| dc.identifier | https://arxiv.org/abs/math/0311486 | |
| dc.identifier | http://arxiv.org/abs/math/0311486 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99912 | |
| dc.subject | Differential Geometry | |
| dc.subject | Algebraic Geometry | |
| dc.title | Convex functions on symmetric spaces, side lengths of polygons and stability inequalities for weighted configurations at infinity | |
| dc.type | text |