RT Journal Article
T1 On the degeneration of some 3-manifold geometries via unit groups of quaternion algebras
A1 Lozano Imízcoz, María Teresa
A1 Montesinos Amilibia, José María
AB A two parameter continuous family of three-dimensional Lie groups with a left invariant Riemannian metric is defined. Each of these Lie groups is the unit group of a quaternion algebra. All the possible left invariant Riemannian structures in the Heisenberg group appear as limit cases. The degeneration of some Thurston’s 3-manifold geometries are studied in this framework. Among other interesting degenerations, the degeneration spherical-Nil-(Formula presented.) is obtained.
PB Springer
SN 1578-7303
YR 2015
FD 2015-09
LK https://hdl.handle.net/20.500.14352/24152
UL https://hdl.handle.net/20.500.14352/24152
LA eng
NO Ministerio de Economía y Competitividad (MINECO)
DS Docta Complutense
RD 4 may 2024