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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 |
Rotation, parabolic 71
Sandakova, N.N. 182
Satake compactification 171
Satake, I. 171
Scheme 201
Scheme of an acute-angled polyhedron 201
Scheme, Coxeter 201
Scheme, Coxeter, parabolic 201
Scheme, Lanner 205
Scheme, Lanner, elliptic 201
Scheme, quasi-Lanner 205
Schlaefli symbol of a honeycomb 215
Schlaefli symbol of a regular polyhedron 212
Schlafli, L. 112 115 118 120 121 152 212
Schlegel, V. 215
Schoenfiies, A. 151 170 174 180
Secant of equal slope 71
Sector, equidistant 114
Sector, horospherical 113
Sector, spherical 113
Segment 23
Seifert, H. 159 172
Selbeig, A. 151
Signature 184
Signature, carrier of 184
Signature, maximal 197
Simplex with ideal vertices 209
Sine law 65
Sine law, dual 65
Space form 157
Space form, Euclidean 157
Space form, hyperbolic 157
Space form, spherical 157
Space, conformal 36
Space, dodecahedral spherical 157
Space, Euclidean 12
Space, homogeneous 9
Space, moduli 191
Space, normal (to a plane) 22
Space, of constant curvature 11
Space, Riemann (elliptic) 19
Space, tangent (to a plane) 22
Space, Teichmuller (of a compact surface with boundary) 194
Space, Teichmuller (of a planar group) 196
Space, Teichmuller, (of an abstract group) 191
Space, Teichmuller, (of the fundamental group for a closed surface) 192
Sphere 12
Sphere in a con formal space 36
Stationary angles of a pair of subspaces 79
Stereohedron 168
Subgroup, horospherical 102
Subgroup, standard 85
Subscheme 201
Subspace of a space of constant curvature 21
| Subspace, elliptic 15
Subspace, hyperbolic 15
Subspace, parabolic 15
Subspaces, isoclinic 78
Subspaces, perpendicular 78
surface 183
Surface with signature 185
Surface, Clifford 134
Surface, Riemann 196
Surface, standard 85
Surface, umbilical 133
Symmetry in a point 16
Syngony (holohedry) 180
Tape, almost simple 111
Tape, Bravais 180
Tape, combinatorial 111
Tape, simple 111
Teichmuller, O. 191 192 196
Tetrahedron, double-rectangular 124
Theorem of A.D. Aleksandrov 112
Theorem of on analytic uniformization 196
Theorem of Schoenflies — Bieberbach 151 178
Theorem of strong rigidity 23
Theorem of three perpendiculars 25
Theorem of topological uniformization 185
Threlfall, W. 172
Thurston's conjecture 158
Thurston, W.P. 158 194 197 232 235
Tikhomirova, E.S. 231
Translation, parabolic 96
triangle 57
Triangle, polar 59
Uniformization of a surface with signature, analytic 197
Uniformization of a surface with signature, topological 184
Universality property of analytic uniformization 197
Universality property of topological uniformization 186
van Kampen, E.R. 186
Venkov, B.A. 156 218
Vertex of a polygon 56
Vertex of a polygon at infinity 56
Vertex of a polyhedron at infinity 110
Vertex of a polyhedron, ideal 208
Vinberg, E.B. 115 130 210 225 226
Wall of a polyhedron 199
Wedge, elliptic 116
Wedge, hyperbolic 114
Wedge, parabolic 116
Weil, A. 191 232
Weyl, H. 104 153
Witt, B. 15
Wolf, J. 157
Zassenhaus, H. 178
Zaxiski, O. 230
Zhuk, I.K. 167
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