Reconstructing the geometric structure of a Riemannian symmetric space from its Satake diagram
| dc.creator | Klein, Sebastian | |
| dc.date | 2008-01-27 | |
| dc.date.accessioned | 2026-07-07T10:09:43Z | |
| dc.date.available | 2026-07-07T10:09:43Z | |
| dc.description | The local geometry of a Riemannian symmetric space is described completely by the Riemannian metric and the Riemannian curvature tensor of the space. In the present article I describe how to compute these tensors for any Riemannian symmetric space from the Satake diagram, in a way that is suited for the use with computer algebra systems. As an example application, the totally geodesic submanifolds of the Riemannian symmetric space SU(3)/SO(3) are classified. The submission also contains an example implementation of the algorithms and formulas of the paper as a package for Maple 10, the technical documentation for this implementation, and a worksheet carrying out the computations for the space SU(3)/SO(3) used in the proof of Proposition 6.1 of the paper. | |
| dc.description | 23 pages, also contains two Maple worksheets and technical documentation | |
| dc.identifier | https://arxiv.org/abs/0801.4127 | |
| dc.identifier | http://arxiv.org/abs/0801.4127 | |
| dc.identifier | doi:10.1007/s10711-008-9297-2 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/171408 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C35; 53B20; 17B20; 17-08 | |
| dc.title | Reconstructing the geometric structure of a Riemannian symmetric space from its Satake diagram | |
| dc.type | text |