Abstract
In this paper, generalized circles in a Weyl space are defined and the system of differential equations satisfied by them is obtained. Furthermore, after having given the necessary and sufficient conditions for generalized circles to be preserved under a conformal mapping we obtained a covariant tensor of type (0, 4) which is invariant under such a conformed mapping.
| Original language | English |
|---|---|
| Pages (from-to) | 75-87 |
| Number of pages | 13 |
| Journal | Publicationes Mathematicae Debrecen |
| Volume | 60 |
| Issue number | 1-2 |
| Publication status | Published - 2002 |
Keywords
- Conformal mapping
- Generalized circle
- Generalized concircular mapping
- Weyl space