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| Alekseevskij D.V., Vinberg E.B., Solodovnikov A.S. — Geometry of Spaces of Constant Curvature |
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| Предметный указатель |
Abels, H. 159
Absolute 29
Adjacency transformation 160
Aleksandrov, A.D. 112 159
Allendoerfer, C.B. 122
Andreev, E.M. 106 111 112 204 237
Angle of a polyhedron at a face 120
Angle of parallelism 67
Angular excess 62
Angular measure of a cone 113
Angular measure of a cone, relative 120
Apanasov, B.N. 173
Axiom of maximum mobility 11
Axis of motion 94
Baer, R. 194
Bernoulli, J. 122
Bianchi, L. 220
Bieberbach, L. 151 170 174
Bolyai, J. 87
Bonnet, O. 63 122
Borcherds, R. 224
Boundary element of a planar group 187
Boundary of a homogeneous domain 29
Bravais, A. 180
Canonical system of generators of a planar group 186
Cauchy, A. 111
Centre of a parabolic translation 96
Chabauty topology 191
Chabauty, C. 191
Charlap, L. 181 182
Circular transformation 36
class 178
Class, arithmetic 178
Class, conformal (of a metric) 39
Clifford translation 94
Clifford, W.K. 94 133 156
Closure of a homogeneous domain 29
Cocycle 1—177
Collineation 29
Commensurable groups 150
Commensurator 238
Cone, director 113
Cone, dual 113
Continuation of a motion, canonical 92—93
Convex hull 57
Convex set 23
Cosine law 65
Cosine law, dual 65
Covolume of a discrete group 239
Coxeter, H.S.M. 112 125 198 201 214
Criterion of arithmeticity of a reflection group 226
Criterion of geometrical finiteness 172
Crystal structure 153
Curve, homogeneous 74
de Sitter, W. 135
Decomposition 146
Decomposition, compatible with a subspace 78
Decomposition, homogeneous 167
Decomposition, Iwasawa 98
Decomposition, normal 159
Defining subspace (of a plane) 22
Dehn — Thurston surgery 235 237
Dehn's twist 195
Dehn, M. 195 235
Delone, B.N. 182
Determinant of a scheme 201
Developable hypersurface ' 133
Direction of parallelism 52
Dirichlet domain 148
Dirichlet, P.G.L. 148 173
Distance 26
Domain, fundamental (of a discrete group) 146
Domain, homogeneous 29
Dyck, W. 204
Efremovich, V.A. 231
Equidistant curve 73
Equidistant hypersurface 86
Euclid 6
Euler characteristic of a planar group 187
False faceting 159
Family of half-spaces, acute angled 106
Family of hyperplanes, indecomposable 108
Family of hyperplanes, non-degenerate 108
Family, locally finite 144
Fedorov, E.S. 155 180
fibonacci 167
Field of definition of an arithmetic group 218
Flag of a polyhedron 211
Formula, Gauss — Bonnet 63 122
Formula, Lobachevskij 125
Formula, Poincare 120
Formula, Riemann — Hurwitz 188
Formula, Schlaefli 119 121
Free action of a group 145
Fricke, R. 156
Frobenius, G. 109 219
Function, convex 27
Function, displacement 93
Function, Lobachevskij 123
Galois covering 184
Galois, E. 184
Garland, H. 232
Gauss, C.F. 63 122
General position, points in 22
Glide along a plane 92
Glide-reflection 71
Gram matrix of a convex polyhedron 105
Gram, J.P. 79 104
Gromov, M. 228 232
Group of compact type 187
Group of finite type 186
Group of motions 9
Group of motions, arithmetic of simplest type 218
Group of motions, arithmetic of the space  219
Group of motions, arithmetic of the space  220
Group of motions, arithmetic of the space , universal 158
Group of motions, arithmetic of the space  222
Group of motions, arithmetic of the space  221
Group of motions, crystallographic of the space  174
Group of motions, crystallographic of the space , arithmetic 156
Group of motions, crystallographic of the space , non-arithmetic 231
Group of motions, crystallographic of the, reflective 222
Group of motions, crystallographic, split (symmorphic) 177
Group of motions, discrete 144
Group of motions, discrete arithmetic 156
Group of motions, discrete crystallographic 145
Group of motions, discrete geometrically finite 168
Group of motions, discrete of compact type 169
Group of motions, discrete of divergent type 232
Group of motions, discrete uniform 145
Group of non-compact type 187
Group,  cohomology 177
Group, arithmetic 222
Group, Bravais 180
Group, diaonal 98
Group, dihedral infinite 77
Group, discrete irreducible 98
Group, discrete reducible 98
Group, discrete reflection 200
Group, elementary 169
Group, finite 176
Group, Galois (of a covering) 184
Group, isotropy 8
Group, Kleinian 144
Group, Lanner 205
Group, Lie (of transformations) 8
Group, linear algebraic 98
Group, maximal 197
Group, modular 192
Group, of the first kind 190
| Group, of the second kind 190
Group, planar 186
Group, Puchsian 183
Group, quasi-algebraic 98
Group, quasi-Lanner 205
Group, reductive 98
Group, reflection 198
Group, uniformization 185
Group, unipotent 98
Half-plane 23
Half-space 23
Helling, H. 167
Herglotz, G. 131
Hilbert's 18th problem 180
Hilbert, D. 6 180
Holohedry (syngony) 180
Holohedry, arithmetic 180
Honeycomb 215
Horocylce 74
Horosphere 87
Hyperplane 22
Hypersurface, standard 85
Inertia index of a scheme 201
Involution of a Riemann manifold 20
Isometry 9
Isomorphism of a homogeneous space 15
Isotropy representation 8
Iwasawa, K. 98
Jorgensen's inequality 170
Jorgensen, T. 167 170
Karpelevich, F.I. 103
Kazhdan, D.A. 170
Kerckhoff, S.P. 197
Killing, W. 156
Kim, A.C. 167
Klein, F. 32 156 208
Koebe, P. 46 196
Lambert, J.H. 67
Lanner, G. 204
Leech lattice 224
Leech, J. 224
Lemma, Margulis 170
Lemma, Selberg 151
Lie, S. 8
Limit point, conical 172
Limit point, cuspidal 172
Limit point, parabolic 163
Limit point, quasi-parabolic 163
Limit set 169
Line 22
Lines, divergent 51
Lines, parallel in the sense of Lobachevskij 52
Liouville, J. 39
Lobachevskij, N.I. 6 87 113 117 122 126 130
Lobell, F. 158 204
Makarov, V.S. 204 209 227
Manifold, conformally fiat 134
Manifold, of constant curvature 9
Manifold, protectively fiat 134
Manifold, Riemannian flat 181
Marden, A. 167
Margulis, G.A. 170 226 231 239 240
Maskit, B. 159
Matrix, decomposable 107
Matrix, parabolic 110
Mennicke, J.L. 167
Metric, Riemannian invariant 10
Millson's property 239
Millson, J.J. 239
Milnor, J. 112 123
Minkowski, H. 104 135
Mobius, A. 181
Model, affine 14
Model, affine, standard 14
Model, conformal 41
Model, Euclidean 41
Model, fiat (of a conformal space) 38
Model, Klein 32
Model, matrix 44
Model, Poincare 43
Model, projective 29
Model, projective, Euclidean 31
Model, standard 14
Model, vector 14
Mostow, G. 232
Motion 9
Motion, elliptic 95
Motion, hyperbolic 95
Motion, improper 11
Motion, parabolic 95
Motion, proper 11
Mutually equidistant sets 79
Nielsen's conjecture 197
Nielsen's domain 190
Nielsen, J. 190 197
Nikulin, V.V. 225
Normal coordinates 131
Orbifold 158
Orientation of a hyperplane 23
Ornament 152
Pair of pants 194
Parallel displacement along a line 71 96
Parallelohedron 182
Pencil of lines 51 86
Pencil of lines, elliptic 72 86
Pencil of lines, hyperbolicl 73 86
Pencil of lines, parabolic 74 87
Perpendicular 25
Perpendicular secant for a pair of planes 82
Perron, O. 109
Peterson operator 133
Peterson, K.M. 132
Piatetski-Shapiro, I.I. 228
Plane 21
Plane, Lobachevskij extended 51
Planes 85
Planes, mutually equidistant 79
Planes, orthogonal 24
Planes, parallel (in the sense of Lobachevskij) 82
Planes, perpendicular 79
Planes, polar 24
Poincare's method 164
Poincare's relation 161
Poincare's relation, convex 56
Poincare's relation, fundamental canonical 187
Poincare's relation, proper 56
Poincare's relation, regular 214
Poincare, H. 43 46 120 157 161 196 204
Polyhedron, acute-angled 106
Polyhedron, convex 24
Polyhedron, convex, acute-angled 106
Polyhedron, Coxeter 199
Polyhedron, fundamental 159
Polyhedron, indecomposable 109
Polyhedron, non-degenerate 104
Polyhedron, normal 159
Polyhedron, regular 211
Prasad, G. 231
Projection (orthogonal) 25
Projection, stereographic 37
Quadric, oval 30
Quaternion algebra 218
Quotient space with respect to the action of a discrete group 145
Raghunathan, M.S. 232
Ramification index 184
Ramifiend covering 184
Rank of a scheme 201
Reflection 21
Riemann, B. 19
Rotation about a plane 93
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