On the existence of min-max minimal torus
| dc.creator | Zhou, Xin | |
| dc.date | 2009-04-09 | |
| dc.date.accessioned | 2026-07-07T13:01:54Z | |
| dc.date.available | 2026-07-07T13:01:54Z | |
| dc.description | In this paper, we will study the existence problem of minmax minimal torus. We use classical conformal invariant geometric variational methods. We prove a theorem about the existence of minmax minimal torus in Theorem 5.1. Firstly we prove a strong uniformization result(Proposition 3.1) using method of [1]. Then we use this proposition to choose good parametrization for our minmax sequences. We prove a compactification result(Lemma 4.1) similar to that of Colding and Minicozzi [2], and then give bubbling convergence results similar to that of Ding, Li and Liu [7]. In fact, we get an approximating result similar to the classical deformation lemma(Theorem 1.1). | |
| dc.description | 31 pages | |
| dc.identifier | https://arxiv.org/abs/0904.1461 | |
| dc.identifier | http://arxiv.org/abs/0904.1461 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/226306 | |
| dc.subject | Differential Geometry | |
| dc.title | On the existence of min-max minimal torus | |
| dc.type | text |