Isometric rigidity in codimension two
classification
🧮 math.DG
keywords
submanifoldscodimensionparabolicrigidadditionclassificationseuclideangeneralizes
read the original abstract
We show that among the Euclidean submanifolds with codimension two the ones of rank two that are parabolic but nonruled are isometrically rigid. This generalizes the result in [10] that these submanifolds are genuinely rigid. In addition, we give a parametric classifications of all parabolic submanifolds.
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