| dc.creator | Koike, Naoyuki | |
| dc.date | 2010-06-01 | |
| dc.identifier | https://revistas.ufro.cl/ojs/index.php/cubo/article/view/1411 | |
| dc.identifier | 10.4067/S0719-06462010000200009 | |
| dc.description | The notion of a complex hyperpolar action on a symmetric space of non-compact type has recently been introduced as a counterpart to the hyperpolar action on a symmetric space of compact type. As examples of a complex hyperpolar action, we have Hermann type actions, which admit a totally geodesic singular orbit (or a fixed point) except for one example. All principal orbits of Hermann type actions are curvature-adapted and proper complex equifocal. In this paper, we give some examples of a complex hyperpolar action without singular orbit as solvable group free actions and find complex hyperpolar actions all of whose orbits are non-curvature-adapted or non-proper complex equifocal among the examples. Also, we show that some of the examples possess the only minimal orbit. | en-US |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Universidad de La Frontera. Temuco, Chile. | en-US |
| dc.relation | https://revistas.ufro.cl/ojs/index.php/cubo/article/view/1411/1265 | |
| dc.source | CUBO, A Mathematical Journal; Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal; 127–143 | en-US |
| dc.source | CUBO, A Mathematical Journal; Vol. 12 Núm. 2 (2010): CUBO, A Mathematical Journal; 127–143 | es-ES |
| dc.source | 0719-0646 | |
| dc.source | 0716-7776 | |
| dc.subject | symmetric space | en-US |
| dc.subject | complex hyperpolar action | en-US |
| dc.subject | complex equifocal submanifold | en-US |
| dc.title | Examples of a complex hyperpolar action without singular orbit | en-US |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
