UNIMODULAR GROUPS OF TYPE ℝ3 ⋊ ℝ |
Lee, Jong-Bum
(Department of Mathematics Sogang University)
Lee, Kyung-Bai (Department of Mathematics University of Oklahoma Norman) Shin, Joon-Kook (Department of Mathematics Chungnam National University) Yi, Seung-Hun (Sciences and Liberal Arts-Mathematics Division Youngdong University) |
1 | C. S. Gordon and E. N. Wilson, Isometry groups of Riemannian solvmanifolds, Trans. Amer. Math. Soc. 307 (1988), no. 1, 245-269 DOI |
2 | K. Dekimpe, K. B. Lee, and F. Raymond, Bieberbach theorems for solvable Lie groups, Asian J. Math. 5 (2001), no. 3, 499-508 |
3 | K. Y. Ha and J. B. Lee, Left invariant metrics and curvatures on simply connected three-dimensional Lie groups, to appear in Math. Nachr |
4 | K. Y. Ha and J. B. Lee, The isometry groups of simply connected 3-dimensional Lie groups, in preparation, 2007 |
5 | M. S. Raghunathan, Discrete subgroups of Lie groups, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 68. Springer-Verlag, New York-Heidelberg, 1972 |
6 | P. Scott, The geometries of 3-manifolds, Bull. London Math. Soc. 15 (1983), no. 5, 401-487 DOI |
7 | C. T. C. Wall, Geometric structures on compact complex analytic surfaces, Topology 25 (1986), no. 2, 119-153 DOI ScienceOn |
8 | H. Brown, R. Bulow, J. Neubiiser, H. Wondratschek, and H. Zassenhaus, Crystallographic groups of four-dimensional space, Wiley-Interscience [John Wiley & Sons], New York-Chichester-Brisbane, 1978 |
9 | L. Auslander, Bieberbach's theorems on space groups and discrete uniform subgroups of Lie groups, Ann. of Math. (2) 71 (1960), 579-590 DOI |
10 | L. Auslander, Bieberbach's theorem on space groups and discrete uniform subgroups of Lie groups. II, Amer. J. Math. 83 (1961), 276-280 DOI ScienceOn |
11 | K. Dekimpe, Almost-Bieberbach groups: affine and polynomial structures, Lecture Notes in Mathematics, 1639, Springer-Verlag, Berlin, 1996 |
12 | K. Dekimpe and B. Eick, Computational aspects of group extensions and their applications in topology, Experiment. Math. 11 (2002), no. 2, 183-200 DOI ScienceOn |