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math.DG2025
(CMC) 1-immersions of surfaces into hyperbolic 3-manifolds
Gabriella Tarantello, Stefano Trapani
Constant Mean Curvature (CMC) 1-immersions of surfaces into hyperbolic 3-manifolds are natural and yet rather curious objects in hyperbolic geometry with interesting applications.…
math.DG2024
On constant mean curvature 1-immersions of surfaces into hyperbolic 3-manifolds
Gabriella Tarantello, Stefano Trapani
Motivated by the work of Bryant on constant mean curvature (CMC) -immersions of surfaces into the hyperbolic space H^3 and after the results of Tarantello (2023), we pursue a po…
math.DG2019★ 8 cited
Bifurcation for Minimal Surface Equation in Hyperbolic -Manifolds
Zheng Huang, Marcello Lucia, Gabriella Tarantello
Initiated by the work of Uhlenbeck in late 1970s, we study questions about the existence, multiplicity and asymptotic behavior for minimal immersions of closed surface in some hype…