PreprintarXiv licencearXiv
Scalar-mean rigidity theorem and Llarull's theorem for nonspin manifolds
Abstract
We prove Llarull's scalar curvature rigidity theorem for spheres and scalar-mean rigidity for strictly convex Euclidean domains in all dimensions without the spin assumption.
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BibTeX
@misc{wang2026scalarmean,
title = {{Scalar-mean rigidity theorem and Llarull's theorem for nonspin manifolds}},
author = {Gaoming Wang and Jinmin Wang and Zhizhang Xie and Bo Zhu},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.15907},
eprint = {2609.15907},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.15907},
}
RIS
TY - UNPB
TI - Scalar-mean rigidity theorem and Llarull's theorem for nonspin manifolds
AU - Gaoming Wang
AU - Jinmin Wang
AU - Zhizhang Xie
AU - Bo Zhu
PY - 2026
DA - 2026/09/14
PB - arXiv
DO - 10.48550/arxiv.2609.15907
UR - https://arxiv.org/abs/2609.15907
AB - We prove Llarull's scalar curvature rigidity theorem for spheres and scalar-mean rigidity for strictly convex Euclidean domains in all dimensions without the spin assumption.
ER -