Projective deformations of hyperbolic Coxeter 3-orbifolds

Cited 7 time in webofscience Cited 0 time in scopus
  • Hit : 339
  • Download : 0
By using Klein's model for hyperbolic geometry, hyperbolic structures on orbifolds or manifolds provide examples of real projective structures. By Andreev's theorem, many 3-dimensional reflection orbifolds admit a finite volume hyperbolic structure, and such a hyperbolic structure is unique. However, the induced real projective structure on some such 3-orbifolds deforms into a family of real projective structures that are not induced from hyperbolic structures. In this paper, we find new classes of compact and complete hyperbolic reflection 3-orbifolds with such deformations. We also explain numerical and exact results on projective deformations of some compact hyperbolic cubes and dodecahedra.
Publisher
SPRINGER
Issue Date
2012-08
Language
English
Article Type
Article
Citation

GEOMETRIAE DEDICATA, v.159, no.1, pp.125 - 167

ISSN
0046-5755
DOI
10.1007/s10711-011-9650-8
URI
http://hdl.handle.net/10203/101799
Appears in Collection
MA-Journal Papers(저널논문)
Files in This Item
There are no files associated with this item.
This item is cited by other documents in WoS
⊙ Detail Information in WoSⓡ Click to see webofscience_button
⊙ Cited 7 items in WoS Click to see citing articles in records_button

qr_code

  • mendeley

    citeulike


rss_1.0 rss_2.0 atom_1.0