| Title:
|
Killing spinor-valued forms and the cone construction (English) |
| Author:
|
Somberg, Petr |
| Author:
|
Zima, Petr |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
52 |
| Issue:
|
5 |
| Year:
|
2016 |
| Pages:
|
341-355 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
On a pseudo-Riemannian manifold $\mathbb{M}$ we introduce a system of partial differential Killing type equations for spinor-valued differential forms, and study their basic properties. We discuss the relationship between solutions of Killing equations on $\mathbb{M}$ and parallel fields on the metric cone over $\mathbb{M}$ for spinor-valued forms. (English) |
| Keyword:
|
pseudo-Riemannian spin manifolds |
| Keyword:
|
Killing type equations |
| Keyword:
|
cone construction |
| Keyword:
|
spinor-valued differential forms |
| MSC:
|
35R01 |
| MSC:
|
53C15 |
| MSC:
|
53C27 |
| MSC:
|
81R25 |
| idZBL:
|
Zbl 06674909 |
| idMR:
|
MR3610868 |
| DOI:
|
10.5817/AM2016-5-341 |
| . |
| Date available:
|
2016-12-20T22:00:07Z |
| Last updated:
|
2018-01-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/145940 |
| . |
| Reference:
|
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| Reference:
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| . |
