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Nonproperly Embedded Complete Minimal Surfaces with Arbitrary Topology in $\mathbb{H}^3$

Koc University

In this talk, we will show that any open, orientable surface $S$ can be nonproperly embedded in $\mathbb{H}^3$ as a complete minimal surface. We construct these surfaces by using the bridge principle at infinity due to Martin and White.

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This activity is supported by the research projects EUR2024.153556, PID2023-150727NB-I00, , PID2023-151060NB-I00, PID2022-142559NB-I00, CNS2022-135390 CONSOLIDACION2022, PID2020-118137GB-I00, PID2020-117868GB-I00, PID2020-116126GB-I00.