The space of embedded minimal surfaces of fixed genus in a 3-manifold IV; Locally simply connected

Details The space of embedded minimal surfaces of fixed genus in a 3-manifold IV; Locally simply connected The space of embedded minimal surfaces of fixed genus in a 3-manifold IV; Locally simply connected

2002-10-08

arxiv.org/abs/math/0210119v1

Mathematics

Analysis of PDEs

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Scientific paper

This paper is the fourth in a series where we describe the space of all embedded minimal surfaces of fixed genus in a fixed (but arbitrary) closed 3-manifold. The key is to understand the structure of an embedded minimal disk in a ball in $\RR^3$. This was undertaken in [CM3], [CM4] and the global version of it will be completed here; see [CM15] for discussion of the local case and [CM13], [CM14] where we have surveyed our results about embedded minimal disks.

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