| Title:
|
Pseudo-Riemannian and Hessian geometry related to Monge-Ampère structures (English) |
| Author:
|
Hronek, S. |
| Author:
|
Suchánek, R. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
58 |
| Issue:
|
5 |
| Year:
|
2022 |
| Pages:
|
329-338 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We study properties of pseudo-Riemannian metrics corresponding to Monge-Ampère structures on four dimensional $T^*M$. We describe a family of Ricci flat solutions, which are parametrized by six coefficients satisfying the Plücker embedding equation. We also focus on pullbacks of the pseudo-metrics on two dimensional $M$, and describe the corresponding Hessian structures. (English) |
| Keyword:
|
Hessian structure |
| Keyword:
|
Lychagin-Rubtsov metric |
| Keyword:
|
Monge-Ampère structure |
| Keyword:
|
Monge-Ampère equation |
| Keyword:
|
Plücker embedding |
| MSC:
|
53B20 |
| MSC:
|
83C15 |
| idZBL:
|
Zbl 07655751 |
| idMR:
|
MR4529822 |
| DOI:
|
10.5817/AM2022-5-329 |
| . |
| Date available:
|
2022-11-28T12:34:05Z |
| Last updated:
|
2023-03-13 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/151157 |
| . |
| Reference:
|
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| . |
