Non-properly Embedded H-Planes in H^2xR

arxiv: 1609.08568 · v2 · pith:56BIQCBUnew · submitted 2016-09-27 · 🧮 math.DG

Non-properly Embedded H-Planes in H²xR

Baris Coskunuzer , William H. Meeks III , Giuseppe Tinaglia This is my paper

classification 🧮 math.DG

keywords embeddedcompleteconstantconstructcurvatureh-planesmeannon-proper

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For any $H$ in (0,1/2), we construct complete, non-proper, stable, simply-connected surfaces embedded in $H^2xR$ with constant mean curvature $H$.

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