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Properness and existence conjecture for constant-mean-curvature surfaces in homogeneous three-manifolds
Properness and existence conjecture. For any $H\geq\frac12\operatorname{Ch}(X)$ , every complete, connected $H$ -surface embedded in $X$ with positive injectivity radius or finite to…
Conjectureopenconstant-mean-curvature-surfaces homogeneous-three-manifolds propernessarXiv posted 2 days ago

Properness and existence conjecture for constant-mean-curvature surfaces in homogeneous three-manifolds