On weakly Einstein submanifolds in space forms satisfying certain equalities
Differential Geometry
2023-12-01 v1
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.
Cite
@article{arxiv.2311.18582,
title = {On weakly Einstein submanifolds in space forms satisfying certain equalities},
author = {Jihun Kim and JeongHyeong Park},
journal= {arXiv preprint arXiv:2311.18582},
year = {2023}
}
Comments
13 pages