| Title:
|
Modular Classes of Q-Manifolds, Part II: Riemannian Structures $\&$ Odd Killing Vectors Fields (English) |
| Author:
|
Bruce, Andrew James |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
56 |
| Issue:
|
3 |
| Year:
|
2020 |
| Pages:
|
153-170 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We define and make an initial study of (even) Riemannian supermanifolds equipped with a homological vector field that is also a Killing vector field. We refer to such supermanifolds as Riemannian Q-manifolds. We show that such Q-manifolds are unimodular, i.e., come equipped with a Q-invariant Berezin volume. (English) |
| Keyword:
|
Q-manifolds |
| Keyword:
|
Riemannian supermanifolds |
| Keyword:
|
Killing vector fields |
| Keyword:
|
modular classes |
| MSC:
|
17B66 |
| MSC:
|
57R20 |
| MSC:
|
57R25 |
| MSC:
|
58A50 |
| MSC:
|
58B20 |
| idZBL:
|
Zbl 07250676 |
| idMR:
|
MR4156442 |
| DOI:
|
10.5817/AM2020-3-153 |
| . |
| Date available:
|
2020-09-02T08:51:42Z |
| Last updated:
|
2020-11-23 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148293 |
| . |
| Reference:
|
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