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math.DG2023
On weakly Einstein submanifolds in space forms satisfying certain equalities
Jihun Kim, JeongHyeong Park
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…
math.DG2023
Asymptotically harmonic manifolds of dimension 3 with minimal horospheres
Jihun Kim, JeongHyeong Park, Hemangi Madhusudan Shah
In [14], it was shown that, if M is a 3-dimensional asymptotically harmonic with minimal horospheres, then M is flat. However, there is a gap in the proof of this paper. In this pa…