Juncheol Pyo

activity

20092026

most citedNew complete embedded minimal surfaces in H2xR

9 citations · 22 across the 18 of their papers we have counts for

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Showing 2009Show all

4 papers · 1 filter

math.DG2009

Maximal annuli with parallel planar boundaries in the 3-dimensional Lorentz-Minkowski space

Juncheol Pyo

We prove that maximal annuli in $L^{3}$ bounded by circles, straight lines or cone points in a pair of parallel spacelike planes are part of either a Lorentzian catenoid o…

math.DG2009

Minimal annuli with constant contact angle along the planar boundaries

Juncheol Pyo

We show that an immersed minimal annulus, with two planar boundary curves along which the surface meets these planes with constant contact angle, is part of the catenoid.

math.DG2009

Regularity of soap film-like surfaces spanning graphs in a Riemannian manifold

Robert Gulliver, Sung-ho Park, Juncheol Pyo +1

Let $M$ be an $n$ -dimensional complete simply connected Riemannian manifold with sectional curvature bounded above by a nonpositive constant $- κ^{2}$ . Using the cone total curvature…

math.DG2009★ 9 cited

New complete embedded minimal surfaces in H2xR

Juncheol Pyo

We construct three kinds of complete embedded minimal surfaces in $H^{2} \times R$ . The first is a simply connected, singly periodic, infinite total curvature surface. The s…