On the total curvature of minimal annuli in $R^3$ and Nitsche's conjecture
| dc.creator | Chen, Qing | |
| dc.date | 1997-01-16 | |
| dc.date.accessioned | 2026-07-07T09:12:57Z | |
| dc.date.available | 2026-07-07T09:12:57Z | |
| dc.description | We present a proof of the generalized Nitsche's conjecture proposed by W.H.Meeks III and H. Rosenberg: For $t\ge 0$, let $P_t$ denote the horizontal plane of height $t$ over the $x_1,x_2$ plane. Suppose that $M \subset R^3$ is a minimal annulus with the boundary contains in $P_0$ and that $M$ intersects every $P_t$ in a simple closed curve. Then $M$ has finite total curvature. As a consequence, we show that every properly embedded minimal surface of finite topology in $R^3$ with more than one end has finite total curvature. | |
| dc.description | Amstex, 9 pages | |
| dc.identifier | https://arxiv.org/abs/dg-ga/9701005 | |
| dc.identifier | http://arxiv.org/abs/dg-ga/9701005 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152200 | |
| dc.subject | Differential Geometry | |
| dc.title | On the total curvature of minimal annuli in $R^3$ and Nitsche's conjecture | |
| dc.type | text |