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PreprintarXiv licencearXiv

Maximal symmetry rank and almost non-negative curvature in low dimensions

  • Samuel Bartel
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Abstract

We establish an upper bound for the symmetry rank of closed, simply connected, almost non-negatively curved manifolds of dimension 4 through 9 and in the case of maximal symmetry rank provide an equivariant diffeomorphism classification of this class of manifolds in dimensions 4, 5, and 6.

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Cite

BibTeXRIS
BibTeX
@misc{bartel2026maximal,
  title = {{Maximal symmetry rank and almost non-negative curvature in low dimensions}},
  author = {Samuel Bartel},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.19110},
  eprint = {2609.19110},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.19110},
}
RIS
TY  - UNPB
TI  - Maximal symmetry rank and almost non-negative curvature in low dimensions
AU  - Samuel Bartel
PY  - 2026
DA  - 2026/09/16
PB  - arXiv
DO  - 10.48550/arxiv.2609.19110
UR  - https://arxiv.org/abs/2609.19110
AB  - We establish an upper bound for the symmetry rank of closed, simply connected, almost non-negatively curved manifolds of dimension 4 through 9 and in the case of maximal symmetry rank provide an equivariant diffeomorphism classification of this class of manifolds in dimensions 4, 5, and 6.
ER  -