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
Hk, 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
ρi, 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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