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PreprintarXiv licencearXiv

Pappus's hexagon theorem for geodesic curves in SLR geometry

  • Jenő Szirmai
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Abstract

In this paper, we continue our investigation of the structure of Thurston geometries with non-constant curvature. We generalize the notion of cylinders, prove that they contain the types of geodesic curves. Moreover, we formulate and prove a statement analogous to Pappus's hexagon theorem for SLR geometry.

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Cite

BibTeXRIS
BibTeX
@misc{szirmai2026pappuss,
  title = {{Pappus's hexagon theorem for geodesic curves in $\SLR$ geometry}},
  author = {Jenő Szirmai},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.08234},
  eprint = {2611.08234},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.08234},
}
RIS
TY  - UNPB
TI  - Pappus's hexagon theorem for geodesic curves in SLR geometry
AU  - Jenő Szirmai
PY  - 2026
DA  - 2026/11/05
PB  - arXiv
DO  - 10.48550/arxiv.2611.08234
UR  - https://arxiv.org/abs/2611.08234
AB  - In this paper, we continue our investigation of the structure of Thurston geometries with non-constant curvature. We generalize the notion of cylinders, prove that they contain the types of geodesic curves. Moreover, we formulate and prove a statement analogous to Pappus's hexagon theorem for SLR geometry.
ER  -