PreprintarXiv licencearXiv
Rigidity of closed λ-self-expanders
Abstract
A λ-self-expander x: Mn→ ℝn+1 is the solution of the isoperimetric problem of weight e|x|2/4. In this paper, we prove that the closed λ-self-expander is a round sphere centered at the origin under some curvature conditions. These curvature conditions mainly include the scalar curvature, the mean curvature, and the squared norm of the second fundamental form.
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BibTeX
@misc{li2026rigidity,
title = {{Rigidity of closed $λ$-self-expanders}},
author = {Tongzhu Li and Mengdan Qi},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2608.28307},
eprint = {2608.28307},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.28307},
}
RIS
TY - UNPB
TI - Rigidity of closed λ-self-expanders
AU - Tongzhu Li
AU - Mengdan Qi
PY - 2026
DA - 2026/09/02
PB - arXiv
DO - 10.48550/arxiv.2608.28307
UR - https://arxiv.org/abs/2608.28307
AB - A λ-self-expander x: M^n→ ℝ^n+1 is the solution of the isoperimetric problem of weight e^|x|^2/4. In this paper, we prove that the closed λ-self-expander is a round sphere centered at the origin under some curvature conditions. These curvature conditions mainly include the scalar curvature, the mean curvature, and the squared norm of the second fundamental form.
ER -