<lift:loc locid="stock.discuss"></lift:loc>
The space of embedded minimal surfaces of fixed genus in a 3-manifold III; Planar domains
2002.10.09
http://arxiv.org/abs/math/0210141
This paper is the third in a series where we describe the space of all embedded minimal surfaces of fixed genus in a fixed (but arbitrary) closed 3-manifold. In [CM3]-[CM5] we describe the case where the surfaces are topologically disks on any fixed small scale. To describe general planar domains (in [CM6]) we need in addition to the results of [CM3]-[CM5] a key estimate for embedded stable annuli which is the main result of this paper. This estimate asserts that such an annulus is a graph away from its boundary if it has only one interior boundary component and if this component lies in a small (extrinsic) ball.
Discussions
• Pls. be polite and constructive.
• You can input La|TeX for math formulas. E.g. $$x = {-b \pm \sqrt{b^2-4ac} \over 2a}$$
• Any attachment files should still be uploaded to arXiv.org