96
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

Hyperbolic 24-Cell 4-Manifolds With One Cusp

ORCID Icon &

References

  • Brown, H., Bülow, R., Neubüser, J., Wondratschek, H., Zassenhaus, H. (1978). Crystallographic Groups of Four-Dimensional Space, New York: Wiley.
  • Epstein, D. B. A., Penner, R. C. (1988). Euclidean decompositions of noncompact hyperbolic manifolds. J. Differ. Geom. 27, 67–80.
  • Farrell, F. T., Zdravkovska, S. (1983). Do almost flat manifolds bound? Michigan Math. J. 30, 199–208.
  • Hantzsche, W., Wendt, H. (1935). Dreidimensionale euklidische Raumformen. Math. Ann. 110, 593–611. doi:10.1007/BF01448045
  • Kolpakov, A., Martelli, B. (2013). Hyperbolic four-manifolds with one cusp. Geom. Funct. Anal. 23, 1903–1933. doi:10.1007/s00039-013-0247-2
  • Kolpakov, A., Slavich, L. (2016). Symmetries of hyperbolic 4-manifolds. Int. Math. Res. Not. IMRN 2016, 2677–2716. doi:10.1093/imrn/rnv210
  • Kolpakov, A., Slavich, L. (2016). Hyperbolic 4-manifolds, colourings and mutations. Proc. London. Math. Soc. 113, 163–184. doi:10.1112/plms/pdw025
  • Long, D. D., Reid, A. W. (2000). On the geometric boundaries of hyperbolic 4-manifolds, Geom. Topol. 4, 171–178.
  • Ratcliffe, J. G. (2019). Foundations of Hyperbolic Manifolds. Graduate Texts in Math., Vol. 149, 3rd ed., Switzerland AG: Springer Nature.
  • Ratcliffe, J. G., Tschantz, S. T. (2000). The volume spectrum of hyperbolic 4-manifolds. Exp. Math. 9, 101–125. doi:10.1080/10586458.2000.10504640
  • Ratcliffe, J. G., Tschantz, S. T. (2010). Fibered orbifolds and crystallographic groups. Algebr. Geom. Topol. 10, 1627–1664. doi:10.2140/agt.2010.10.1627
  • Slavich, L. (2015). Some hyperbolic 4-manifolds with low volume and number of cusps. Topol. Appl. 191, 1–9. doi:10.1016/j.topol.2015.05.004
  • Wolf, J. A. (1984). Spaces of Constant Curvature, 5th ed. Houston, TX: Publish or Perish.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.