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| Авторизация |
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| Поиск по указателям |
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| Spivak M. — A Comprehensive Introduction to Differential Geometry. Volume 3 |
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| Предметный указатель |
Quasi—orthonormal 120 132
Radon 192
Raven Press 75
Rectifying plane 271
Regression, edge of 208
Revolution see Surface of revolution
Riemann 241
Riemann, surface 436
Right helicoid 218
Rodrigues’ formula 284
Rotation surfaces see Surfaces of revolution
Ruled surfaces 213
Ruled surfaces, doubly 227
Rulings 214
Saddle, monkey 61
Scherk’s minimal, surface 249
SCROLL 214
Second fundamental form 10 14 48
Second fundamental form of f 49
Second fundamental form of f, special affine 156
Second fundamental form, special affine 156
Second order approximation of surfaces 52
Second structural equation 24
Sectional curvature 8
Serf-bored, Klingenstein’s 461 465
Similarity 302
Simply-oriented manifolds of constant curvature 37 42
Singularity of a 1-dimensional distribution, index of 325
Smooth flat M bius strip 217
SO(3), equations of structure of 101 111
Special affine 101
Special affine, (extrinsic) curvature 187
Special affine, arclength 105 107
Special affine, Codazzi — Mainardi equations 192
Special affine, curvature functions 108
Special affine, first fundamental form 124 133
Special affine, first fundamental form, of f 125 133
Special affine, Gauss formulas 156
Special affine, geometry of surfaces 101
Special affine, mean curvature 187
Special affine, normal 150
Special affine, principal curvatures 187
Special affine, principal directions 187
Special affine, second fundamental form 156
Special affine, second fundamental form, of f 156
Special affine, surface theory, fundamental theorem of 192
Special linear affine map 101
Special orthogonal affine map 101
Sphere 220
Standard parameterization 215
Steiner 271
Striction curve 215 266
Structural equation(s), first 24
Structural equation(s), of SO(3) 101 111
Structural equation(s), second 24
Support function 267
Support plane 91 465
Surface theory, fundamental theorem of 79 111 113
Surface, approximate up to second order 52
| Surface, classical flat 205
Surface, compact, with constant negative curvature 430
Surface, complete, of constant curvature 347
Surface, developable 237 351
Surface, developable, classical classification of 353
Surface, doubly-ruled 227
Surface, flat 205
Surface, minimal 242 ff.
Surface, of revolution 228
Surface, of revolution, canonical parameterization of 230
Surface, of revolution, geodesics on 17
Surface, of revolution, of constant curvature 235
Surface, quadratic, quadric 174 218
Surface, Riemann 436
Surface, ruled 213
Surface, special affine geometry of 101
Surface, triply orthogonal system of 297
Svitcheroo, familiar old 74
Synge’s inequality 8
Tangent developable 207
Tangent developable, striction curve of 266
Tangent to M 1
Tangential projection 1
Tensor analysis treatment of submanifolds 17
Terquem — Joachimsthal theorem 296
Theorema egregium 78 98
Third fundamental form 87
Tiling 434
Topset 414
Torsion, geodesic 278
Torus 342
Torus, g-holed 430
Torus, geodesics on 232
Torus, umbilics on 233
Torus, with flat metric 87
Total absolute curvature 411
Total curvature 421
Totally geodesic 35
Tractrix 239
Triangulations 346 399
Triply orthogonal systems of surfaces 297
Tschebyscheff net 372
Tschebyscheff net, asymptotic 373
Tubular neighborhood 439
Type of a point 118
Umbilic 71 199
Umbilic, on ellipsoid 222
Umbilic, on ellipsoid, lines of curvature in a neighborhood of 288
Umbilic, on elliptic hyperboloid 226
Umbilic, on elliptic paraboloid 226
Umbilic, on torus 233
Umbilic, surface with all points 72
Umlaufsatz see Hopf Umlaufsatz
Uniformization theorem, general 437
Unit normal field 10
Unknotted 427
Vertices 394
Voss 426
Weingarten equations 11 12 13 21 29 76 179
Wunderlich 355
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