On weakly Einstein submanifolds in space forms satisfying certain equalities
classification
🧮 math.DG
keywords
einsteinformsspaceweaklysubmanifoldssatisfyadditioncertain
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We classify weakly Einstein submanifolds in space forms that satisfy Chen's equality. We also give a classification of weakly Einstein hypersurfaces in space forms that satisfy the semisymmetric condition. In addition, we discuss some characterizations of weakly Einstein submanifolds in space forms whose normal connection is flat.
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