| Title:
|
Spinor equations in Weyl geometry (English) |
| Author:
|
Buchholz, Volker |
| Language:
|
English |
| Journal:
|
Proceedings of the 19th Winter School "Geometry and Physics" |
| Volume:
|
|
| Issue:
|
1999 |
| Year:
|
|
| Pages:
|
63-73 |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper deals with Dirac, twistor and Killing equations on Weyl manifolds with $C$-spin structures. A conformal Schr\"odinger-Lichnerowicz formula is presented and used to derive integrability conditions for these equations. It is shown that the only non-closed Weyl manifolds of dimension greater than 3 that admit solutions of the real Killing equation are 4-dimensional and non-compact. Any Weyl manifold of dimension greater than 3, that admits a real Killing spinor has to be Einstein-Weyl. (English) |
| MSC:
|
53C25 |
| MSC:
|
53C27 |
| MSC:
|
58J60 |
| idZBL:
|
Zbl 0983.53028 |
| idMR:
|
MR1758080 |
| . |
| Date available:
|
2009-07-13T21:43:04Z |
| Last updated:
|
2025-06-26 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/701649 |
| . |
