Article
| Title: | Geodesics and curvature of semidirect product groups (English) |
| Author: | Vizman, Cornelia |
| Language: | English |
| Journal: | Proceedings of the 20th Winter School "Geometry and Physics" |
| Volume: | |
| Issue: | 2000 |
| Year: | |
| Pages: | 199-206 |
| . | |
| Category: | math |
| . | |
| Summary: | Summary: Geodesics and curvature of semidirect product groups with right invariant metrics are determined. In the special case of an isometric semidirect product, the curvature is shown to be the sum of the curvature of the two groups. A series of examples, like the magnetic extension of a group, are then considered. (English) |
| MSC: | 35Q35 |
| MSC: | 37K65 |
| MSC: | 37N10 |
| MSC: | 55D05 |
| MSC: | 58B20 |
| MSC: | 58B25 |
| MSC: | 76W05 |
| idZBL: | Zbl 1002.58008 |
| idMR: | MR1826692 |
| . | |
| Date available: | 2009-07-13T21:46:01Z |
| Last updated: | 2012-11-07 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/701679 |
| . |
Files
| Files | Size | Format | View |
|---|---|---|---|
| WSGP_20-2000-1_16.pdf | 705.2Kb | application/pdf |
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