| dc.creator | Koike, Naoyuki | |
| dc.date | 2019-03-15 | |
| dc.identifier | http://revistas.ufro.cl/ojs/index.php/cubo/article/view/2064 | |
| dc.identifier | 10.4067/S0719-06462018000300013 | |
| dc.description | In this paper, we investigate the mean curvature flows starting from all leaves of the isoparametric foliation given by a certain kind of solvable group action on a symmetric space of non-compact type. We prove that the mean curvature flow starting from each non-minimal leaf of the foliation exists in infinite time, if the foliation admits no minimal leaf, then the flow asymptotes the self-similar flow starting from another leaf, and if the foliation admits a minimal leaf (in this case, it is shown that there exists the only one minimal leaf), then the flow converges to the minimal leaf of the foliation in C∞-topology. These results give the geometric information between the leaves. | en-US |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Universidad de La Frontera. Temuco, Chile. | en-US |
| dc.relation | http://revistas.ufro.cl/ojs/index.php/cubo/article/view/2064/1847 | |
| dc.source | CUBO, A Mathematical Journal; Vol. 20 No. 3 (2018); 13–29 | en-US |
| dc.source | CUBO, A Mathematical Journal; Vol. 20 Núm. 3 (2018); 13–29 | es-ES |
| dc.source | 0719-0646 | |
| dc.source | 0716-7776 | |
| dc.subject | error function based activation function | en-US |
| dc.subject | multivariate quasi-interpolation neural network approximation | en-US |
| dc.subject | Kantorovich-Shilkret type operator | en-US |
| dc.title | Mean curvature flow of certain kind of isoparametric foliations on non-compact symmetric spaces | en-US |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
