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Obata-type equations under the Bakry-Émery Ricci curvature conditions
Abstract
In this paper, based on the warped product structures determined by the Obata-type equations with Robin boundary condition, we establish some rigidity results for compact manifolds with smooth boundary under appropriate Bakry-Émery Ricci curvature conditions and some other assumptions.
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BibTeX
@misc{lai2026obatatype,
title = {{Obata-type equations under the Bakry-Émery Ricci curvature conditions}},
author = {Mijia Lai and Yiwei Liu},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.09712},
eprint = {2609.09712},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.09712},
}
RIS
TY - UNPB
TI - Obata-type equations under the Bakry-Émery Ricci curvature conditions
AU - Mijia Lai
AU - Yiwei Liu
PY - 2026
DA - 2026/09/09
PB - arXiv
DO - 10.48550/arxiv.2609.09712
UR - https://arxiv.org/abs/2609.09712
AB - In this paper, based on the warped product structures determined by the Obata-type equations with Robin boundary condition, we establish some rigidity results for compact manifolds with smooth boundary under appropriate Bakry-Émery Ricci curvature conditions and some other assumptions.
ER -