Geodesic touching-set conjecture for CMC surfaces
Let be a three-dimensional Riemannian manifold, and let be a constant mean curvature (CMC) surface in whose touching set is one-dimensional. Geodesic touching-set conjecture. The touching set must be a geodesic of the ambient manifold. The supplied text gives no evidence that this question has been resolved.
References
Primary source
Ao Sun, “Compactness of Constant Mean Curvature Surfaces in Three Manifold with Positive Ricci Curvature”, arXiv:1804.09328 (2018).
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