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

Chia sẻ: Nnguyen Nhi | Ngày: | Loại File: PDF | Số trang:44

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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 3manifold. The key is to understand the structure of an embedded minimal disk in a ball in R3 . This was undertaken in [CM3], [CM4] and the global version of it will be completed here; see the discussion around Figure 12 for the local case and [CM15] for some more details. Our main results are Theorem 0.1 (the lamination theorem) and Theorem 0.2 (the one-sided curvature estimate). ...

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Nội dung Text: Đề tài " The space of embedded minimal surfaces of fixed genus in a 3-manifold IV; Locally simply connected "

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