MathDBGeodesic touching-set conjecture for CMC surfaces
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.
Sources & referencesView supporting material
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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