On the Gauss curvature of compact surfaces in homogeneous 3-manifolds
classification
🧮 math.DG
keywords
compactmanifoldssurfacescurvaturegausshomogeneousclassifiedconstant
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Compact flat surfaces of homogeneous Riemannian 3-manifolds with isometry group of dimension 4 are classified. Non-existence results for compact constant Gauss curvature surfaces in these 3-manifolds are established.
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