Loading...
Please wait, while we are loading the content...
Zur Krümmungsverwandtschaft Von Zwangläufen in Affinen CK — Ebenen I
| Content Provider | Semantic Scholar |
|---|---|
| Author | Röschel, Otto |
| Copyright Year | 1992 |
| Abstract | We study a map of ”osculating elements” of an affine Cayley- Klein (CK-) plane into the Lie algebraA4(ɛ2) of the aequiform transformationsA4(ɛ2) of the given plane. If we use the real projective spaceP3(ℜ) overA4(ɛ2) each osculating element defines a straight line inP3(ℜ). In the first part of this paper this map is studied in detail. In the second part we study second order properties of one- parameter motions and their corresponding properties in the Lie algebraA4(ɛ2). This is done by considering the analogen to the formula of EULERSAVARY in the image spaceP3(ℜ) overA4(ɛ2). |
| Starting Page | 160 |
| Ending Page | 170 |
| Page Count | 11 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/BF01228290 |
| Volume Number | 44 |
| Alternate Webpage(s) | https://page-one.springer.com/pdf/preview/10.1007/BF01228290 |
| Alternate Webpage(s) | https://doi.org/10.1007/BF01228290 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |