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0111 · Nov 202219922001200920172026
1 result for “quasicompleteness”
On quasicomplete kk-surfaces in 33-dimensional space-formsmath.DG

Geodesic spheres are the only quasicomplete surfaces in 3-space-forms.

problem Classifying quasicomplete surfaces in 3-space-forms.
method Using quasicompleteness as a weaker form of completeness, the global geometry of surfaces is determined.
result Geodesic spheres are the only quasicomplete surfaces of constant extrinsic curvature in 3-space-forms.
geodesic spheresquasicompleteness3-space-formsconstant extrinsic curvature
2022-11-27abs ↗pdf ↗