RT Journal Article
T1 Harmonic manifolds and embedded surfaces arising from a super regular tesselation
A1 Brumfiel, G.
A1 Hilde, H.
A1 Lozano, M. T.
A1 Montesinos Amilibia, José María
A1 Ramirez, E.
A1 Short, H.
A1 Tejada Cazorla, Juan Antonio
A1 Toro, M.
AB The main result of this paper is the construction of two Hyperbolic manifolds, M-1 and M-2, with several remarkable properties:(1) Every closed orientable 3-manifold is homeomorphic to the quotient space of the action of a group of order 16 on some covering space of M-1 or M-2.(2) M1 and M2 are tesselated by 16 dodecahedra such that the pentagonal faces of the dodecahedra fit together in a certain way.(3) There are 12 closed non-orientable hyperbolic surfaces of Euler characteristic -2 each of which is tesselated by regular right angled pentagons and embedded in M1 or M2. The union of the pentagonal faces of the tesselating dodecahedra equals the union of the 12 images of the embedded surfaces of Euler characteristic -2.
PB World Scientific PublCo
SN 0218-2165
YR 2017
FD 2017
LK https://hdl.handle.net/20.500.14352/18102
UL https://hdl.handle.net/20.500.14352/18102
LA eng
NO Ministerio de Ciencia e Innovación (MICINN)
NO Research project HERMES, Universidad Nacional-Sede Medellin
DS Docta Complutense
RD 30 abr 2024