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Gutkin, E; Schroeder, Viktor (2006). Connecting geodesics and security of configurations in compact locally symmetric spaces. Geometriae Dedicata, 118(1):185-208.
A pair of points in a Riemannian manifold makes a secure configuration if the totality of geodesics connecting them can be blocked by a finite set. The manifold is secure if every configuration is secure. We investigate the security of compact, locally symmetric spaces.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Geometry and Topology |
| Uncontrolled Keywords: | connecting geodesics - blocking points - restricted horocycle - exponential map - maximal flat - restricted shadow - singular configuration |
| Language: | English |
| Date: | 2006 |
| Deposited On: | 11 Jan 2010 15:12 |
| Last Modified: | 03 Sep 2024 01:37 |
| Publisher: | Springer |
| ISSN: | 0046-5755 |
| Additional Information: | The original publication is available at www.springerlink.com |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.1007/s10711-005-9036-x |
| Related URLs: | http://arxiv.org/abs/math/0508355 |
Gutkin, E