Index [·, ·], 33 (·, · ·,·), 188 ·,·p, 160 A, 104 βk, 93 C, 92 d(·, ·), 28 δij , 39 ∂k, 92 dS, 235 ds, 173 En, 146 Γ, 224 GL(n, R), 32 H2, 181 H k , 93 indp f , 267 indp γ, 152 indp X, 151 Isom, 31 Ix, 45 κ, 180 M, 61 O(3), 39 φγ , 150 P SL(2, R), 184 ρ i , 164 Rn, 20 RP 2 , 10 S2, 20 SL(2, R), 184 Sn, 67 SO(3), 40 supp, 164 T2, 44 T , 54 T n, 61 χ, 56 absolute geometry, 198 action, 175 affine map, 35 angle, 171 angular defect, 217, 229 angular excess, 43, 235, 238 area, 171, 181, 229 of a triangle, 41, 217, 223, 238 asymptotic triangle, 220, 222 atlas, 104, 106, 117 compatible, 105 barycentric coordinates, 53, 67 barycentric subdivision, 57 Betti number, 93, 97 interpretation, 98, 100 boundary, 93, 96 boundary operator, 92 for a triangulation, 95 Brouwer’s fixed point theorem, 149, 267 283
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