Index
absorbing inequality, 48, 93
Allard regularity theorem, 105, 119
almost conformal, 135, 191
almost maximal, 175
almost stable, 92
almost stable sectors, 268, 271
alternating method, 176
area estimate for stable surfaces, 77
aspherical, 255
asymptotically flat, 251
barrier, 140
Barta’s theorem, 46, 48
bent helicoids, 59
Bernstein’s theorem, 32, 48, 50, 78, 88,
101, 103
Bers’ theorem, 208, 237
Birkhoff’s curve shortening, 165
Bochner formula, 61, 99, 150, 242
branch point, 147
false, 215
true, 215
bubble compactness, 179
bubble convergence, 128
Calabi’s more ambitious conjecture, 283
Calabi-Yau conjectures, 283
calculus of variations
direct method, 141
calibration, 3, 119
catenoid, 9, 34
Cauchy-Riemann equations, 34
Chen-Gackstatter surface, 17
Choi-Schoen theorem, 244
Choi-Wang theorem, 244, 245
chord-arc, 74, 287
assuming bounded curvature, 287
Christoffel symbols, 235
CLP surface, 20
coarea formula, 24
Codazzi equation, 67
cone, 101
conformal
map, 143
metric, 144
conformal dilation, 128
conjugate minimal surface, 35
convex hull property, 23
convexity theorem for harmonic maps,
177
Costa-Hoffman-Meeks surface, 14
Courant-Lebesgue lemma, 143
covering lemma
five times, 115
critical set, 207
curvature
Riemann, 66
curvature estimate
embedded disks, 82, 83
graphs, 73, 88
small excess, 80
small total curvature, 72
stable, 78
Dirichlet problem, 137
311
Previous Page Next Page