Minimal surfaces that attain equality in the Chern-Osserman inequality
| dc.creator | Kokubu, Masatoshi | |
| dc.creator | Umehara, Masaaki | |
| dc.creator | Yamada, Kotaro | |
| dc.date | 2001-02-05 | |
| dc.date.accessioned | 2026-07-07T04:39:59Z | |
| dc.date.available | 2026-07-07T04:39:59Z | |
| dc.description | In the previous paper, Takahasi and the authors generalized the theory of minimal surfaces in Euclidean n-space to that of surfaces with holomorphic Gauss map in certain class of non-compact symmetric spaces. It also includes the theory of constant mean curvature one surfaces in hyperbolic 3-space. Moreover, a Chern-Osserman type inequality for such surfaces was shown. Though its equality condition is not solved yet, the authors have noticed that the equality condition of the original Chern-Osserman inequality itself is not found in any literature except for the case n=3, in spite of its importance. In this paper, a simple geometric condition for minimal surfaces that attains equality in the Chern-Osserman inequality is given. The authors hope it will be a useful reference for readers. | |
| dc.description | 6 pages | |
| dc.identifier | https://arxiv.org/abs/math/0102037 | |
| dc.identifier | http://arxiv.org/abs/math/0102037 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60893 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53A10; 53A07; 53C42 | |
| dc.title | Minimal surfaces that attain equality in the Chern-Osserman inequality | |
| dc.type | text |