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PreprintarXiv licencearXiv

The Hopf conjecture with T3-symmetry

  • Jan Nienhaus
  • Dennis Wulle
Open at sourcePDFDOICite

Abstract

We prove that any closed even-dimensional manifold with positive sectional curvature admitting an isometric action by a 3-torus has positive Euler characteristic. We also prove the result for orbifolds.

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Cite

BibTeXRIS
BibTeX
@misc{nienhaus2026hopf,
  title = {{The Hopf conjecture with $T^3$-symmetry}},
  author = {Jan Nienhaus and Dennis Wulle},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.22173},
  eprint = {2610.22173},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.22173},
}
RIS
TY  - UNPB
TI  - The Hopf conjecture with T^3-symmetry
AU  - Jan Nienhaus
AU  - Dennis Wulle
PY  - 2026
DA  - 2026/10/15
PB  - arXiv
DO  - 10.48550/arxiv.2610.22173
UR  - https://arxiv.org/abs/2610.22173
AB  - We prove that any closed even-dimensional manifold with positive sectional curvature admitting an isometric action by a 3-torus has positive Euler characteristic. We also prove the result for orbifolds.
ER  -