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| Alekseevskij D.V., Vinogradov A.M., Lychagin V.V. — Geometry I: Basic Ideas and Concepts of Differential Geometry |
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Название: Geometry I: Basic Ideas and Concepts of Differential Geometry
Авторы: Alekseevskij D.V., Vinogradov A.M., Lychagin V.V.
Язык: 
Рубрика: Математика/
Статус предметного указателя: Готов указатель с номерами страниц
ed2k:
Год издания: 1991
Количество страниц: 264
Добавлена в каталог: 02.05.2008
Операции: Положить на полку |
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| Предметный указатель |
Smooth function on  146
Smooth function on  146
Smooth manifold 51
Smooth manifold of dimension  56
Smooth map 57 147
Smooth pseudogroup 190
Smooth surface 29
Smooth transformation 58
Smoothly compatible charts 55
Solubility 93
Solution of a system of differential equations 133
Space of  -jets 132
Space of a bundle 58
Space of configurations 54
Space of constant curvature 81
Space of curvature tensors 79
Space of essential deformations 237
Space of geometric quantities 151
Spectral function of a manifold 245
Spectrum of a Riemannian manifold 244
Spencer cohomologies 140 173
Spencer complex 140 172
Spencer operator 140 172
Spencer, D.C. 19 24 140 141 145
Spherical map 36 47 241
Spin 159
Spinor bundle 159
Spinor field 159
Spinor structure 158
Stabilizer 97 193
Stable cohomologies 173
Statistical sum 245
Steiner formula 47
Steiner, J. 47 48
Stiefel, M. 158
Stokes, G.G. 71 223
Stress tensor 69
Strictly convex hypersurface 241
Structure function 186 188
Structure group 154
Structure of a smooth manifold 56
Sturm, J.C.F. 217
Subbundle 59
Submanifold 57
Supercommutative algebra 237
Supercommutative Jacobi identity 237
Supercommutative Leibniz rule 238
Supertensor bundle 159
Symbol of a system of differential equations 139
Symbol of an operator 86
Symmetric connection 73
Symmetric product 67
Symmetric reductive decomposition 104
Symmetric Riemannian space 83 108
Symmetric tensor 66
Symmetrization 67
Symmetry of a differential equation 124
Symplectic manifold 84
Symplectic structure 89
Tangent covector 63
Tangent element 115 116
Tangent Lie algebra 97
Tangent space 61
Tangent space of order 99
Tangent space to 147
Tangent vector 61 147
Tangent vector of order 152
| Teichmiiller, O. 235
Teichmuller space 235
Tensor 65
Tensor algebra 66
Tensor at a point a of a manifold 67
Tensor bundle 65
Tensor field 65
Tensor of type ( ,  ) 65
Tensor product 65
Theorema egregium 17 36
Theory of connections 28
Theta$-function of a manifold 245
Thom Isomorphism 231
Todd class 230
Todd, J.A. 230
Topological structure 57
Toponogov, V.A. 218
Torsion of a  -structure 186 187
Torsion of a curve 27
Torsion tensor 73
Total derivative operator 137
Total differential group 170
Trajectory of a field 62
Transitive action of a group 97
Transitive function 55 59 155
Transitive Lie algebra 195
Transitive pseudogroup 190
Tresse, A. 177 193
Trivial  -field 148
Trivial 3-web 176
Trivial bundle 58
Trivial distribution 129
Trivial field 148 201
Type number 49
Type number of an -dimensional surface 49
Type of a pseudogroup 194
Type of an integral manifold 134
Umbilic 31 198
Unimodular affine transformation 27
Unimodular equivalence 27
Unimodular invariant 27
Unit section of a bundle 156
Value of a 1-form 64
Value of a differential invariant on a structure 183
Vector field 62 147
Vector parallel to a vector along a curve 34
Vectors in involution 143
Velocity field of a flow 63
Velocity vector 25
Vertical subspace 159
Vertical vector field 161
Volume form 210
Weierstrass, K. 206
Weil homomorphism 227
Weil, A. 12 227
Weinstein, A. 218
Weyl formula 48
Weyl tensor 80 81
Weyl, H. 72 80 153 154 201 245 246
White, B. 200
Whitney, H. 158
Witt, E.de 174
Yang — Mills equation 166
Yang — Mills field 166
Yang — Mills functional 167
Yang, C.N. 154 166 167
Yau, S. — T. 219
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