| dc.creator | Koike,Naoyuki | |
| dc.date | 2010-01-01 | |
| dc.date.accessioned | 2017-03-07T16:36:24Z | |
| dc.date.available | 2017-03-07T16:36:24Z | |
| dc.identifier | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000200009 | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/404493 | |
| 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. | |
| dc.format | text/html | |
| dc.language | en | |
| dc.publisher | Universidad de La Frontera. Departamento de Matemática y Estadística | |
| dc.publisher | Universidade Federal de Pernambuco. Departamento de Matemática | |
| dc.source | Cubo (Temuco) v.12 n.2 2010 | |
| dc.subject | symmetric space | |
| dc.subject | complex hyperpolar action | |
| dc.subject | complex equifocal submanifold | |
| dc.title | Examples of a complex hyperpolar action without singular orbit | |
| dc.type | Artículos de revistas | |
