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arXiv · 2311.18582

On weakly Einstein submanifolds in space forms satisfying certain equalities

Jihun Kim·JeongHyeong Park
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Abstract

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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Jihun Kim, JeongHyeong Park. 2023-11-30. On weakly Einstein submanifolds in space forms satisfying certain equalities. https://arxiv.org/abs/2311.18582

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