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arxiv: 1407.2150 · v1 · pith:I3ZSDJEHnew · submitted 2014-07-08 · 🧮 math.DG

On mean-convex Alexandrov embedded surfaces in the 3-sphere

classification 🧮 math.DG
keywords alexandrovmean-convexembeddedspheresurfacesconditionsconsidercontinuously
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We consider mean-convex Alexandrov embedded surfaces in the round unit 3-sphere, and show under which conditions it is possible to continuously deform these preserving mean-convex Alexandrov embeddedness.

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