Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум   
blank
Авторизация

       
blank
Поиск по указателям

blank
blank
blank
Красота
blank
Alekseevskij D.V., Vinogradov A.M., Lychagin V.V. — Geometry I: Basic Ideas and Concepts of Differential Geometry
Alekseevskij D.V., Vinogradov A.M., Lychagin V.V. — Geometry I: Basic Ideas and Concepts of Differential Geometry



Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


Название: Geometry I: Basic Ideas and Concepts of Differential Geometry

Авторы: Alekseevskij D.V., Vinogradov A.M., Lychagin V.V.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1991

Количество страниц: 264

Добавлена в каталог: 02.05.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
$k$-equivalent submanifolds      167
$k$-jet of a map at a point      169
$k$-jet of a section      169
$k$-jet of a submanifold at a point      167
$R$-plane      134
$\chi_{y}$-characteristic of a bundle      234
$\Gamma$-equivalent submanifolds      218
$\mathcal{C}$-field      148
$\mathcal{C}$-map      147
$\xi_{y}$-genus of a manifold      234
($p$, $g$)-form      232
1-jet      115 116
3-web      175
Action of a group      96
Acyclic system of differential equations      141
Adjoint action of a group      98
Adjoint representation of an algebra      98
Affine equivalence      27
Affine geometric structure      151
Affine invariant      27
Affine symmetric manifold      104
Affine transformation      27
Aleksandrov, A.D.      201 241
Allendorfer, C.B.      49
Almgren, F.G.      207
Almost complex structure      84 152
Alternation      67
Ambrose, W.      83 163
Ample canonical bundle      243
Analytic system of differential equations      142
Anti-self-dual components of a Weyl tensor      81
Arithmetic genus of a manifold      234
Atiyah, M.      225 230 244
Backlund, A.V.      135
Basic equations      44
Beez, R.      48
Beltrami — Laplace operator      87 212
Beltrami, E.      18 87 202
Berezin, F.A.      237
Berger, E.      205
Berger, M.      83 110
Bernstein, S.N.      208
Betti numbers      209
Bianchi, L.      46
Bieberbach, L.      235
Bivector      46
Blanu$\check{s}$a, D.      205
Blaschke, W.      201
Blecker, D.      247
Bochner, S.      205 214
Bol, G.      198
Bolyai, J.      18 202
Bombieri, E.      208
Bonnet, O.      28 35 37 224
Bordancy      223
Bordant surfaces      224
Borel, A.      138
Bott, R.      223 244
Boundary of a manifold      57
Bourbaki, N.      10
Brieskorn, E.      58
Bryant, R.      205
Bundle associated with a principal bundle      158
Bundle of geometric quantities      158
Burgers, W.      148
Burstin, I.L.      204
Calabi, E.      241 243
Calabi’s conjecture      243
Canonical bundle      243
Canonical connection      102
Carath$\acute{e}$odory, C.      198
Cartan distribution      133 147 168
Cartan plane      147 168
Cartan structure equation      163
Cartan, E.      77 92 144 145 189 194 196 204 209
Cauchy data      124 130
Cauchy, A.      123
Central symmetry      104
Character of a Pfaff system      143
Characteristic      116 117 129
Characteristic class      28 228
Characteristic class of a manifold      228
Characteristic curve      117
Characteristic field      117 125
Characteristic manifold      129
Chart      29 55
Chern character      230
Chern characteristic class      228
Chern, S.S.      227 230
Christoffel of the normal connection      42
Christoffel symbols      32 41 72
Christoffel, E.B.      32
Clairaut, A.C.      121
Class of a distribution      128
Classical simple Lie group      96
Closed differential form      71
Closed set      57
Closed subgroup      99
Clothed surface      224
Codazzi, D.      38—40
Codimension of a distribution      126
Coframe of order $k$      150
Cohn — Vossen, St      201
Cohomologies of a Lie algebra      239
Commutator of a vector field      43
Compactness      57
Complete system of metric invariants      27
Complete vector field      62
Completely integrable distribution      127
Complex local coordinates      231
Complex manifold      231
Complex pseudogroup      190
Components of a covector      64
Components of a tensor      44
Configuration      54
Conformal metric      95
Conformal model      82
Conjugate points      216
Connection      35
Connection form      161
Connection in a principal $G$-bundle      160
Contact Hamiltonian      123
Contact structure      125
Contact transformation      121
Contact vector field      122
Contravariant tensor      65
Contravariant valency      65
Convolution operation      66
Cosmological constant      80
Cotangent bundle      64
Cotangent space      64
Courant, R      206
Covariant derivative      41 72 164
Covariant differential      74 163 164
Covariant differentiation      33
Covariant differentiation along $X$      33
Covariant differentiation of a normal field      42
Covariant tensor      65
Covariant valency      65
Covariantly constant tensor field      74
Covector field      64
Covering      155
Critical value of a function      220
Curvature      26
Curvature tensor of a linear connection      78
Curvature tensor of a normal connection      45
Curvature tensor of a surface      44
Curvature, two-form of a connection      162
Curvilinear coordinates      29
Darboux, G.      28 38 1 1 1 128 129 241
De Rham cohomologies      209
de Rham complex      209
Deficiency of a loop      35
Deformed cohomologies      240
Deformed complex      240
Derivation formulae      43
Descartes, R.      14—16
Development of a curve      34
Diffeomorphism      58
Differential equation      133
Differential equation of order $k$ on submanifolds      171
Differential form of degree $p$      68
Differential form of the first degree      21 64
Differential form on $\mathcal{E}^(\infty)$      147
Differential group of order $k$      1 50
Differential invariant      25 183
Differential of a function      64
Differential of an algebra $A$ with values in the $A$-module      20
Differential operator      85 171
Differentially closed ideal      146
Dimension of a distribution      126
Dirac, P.A.M.      153
Distribution on a smooth manifold      126
Dolbeault cohomologies      232
Dolbeault cohomologies of a holomorphic bundle      233
Dolbeault cohomologies with values in a bundle      233
Dolbeault complex      232
Dolbeault, P.      231—233
Douglas, J.      206
Effective action of a group      97
Effective subalgebra      99
Efimov, N.V.      202 203
Einstein space      80
Einstein, A.      28 40 52 81 234
Elliptic G-structure      188
Equation of principal type      142
Equation soluble at a point      130
Equivalence of bundles      59
Equivalence problem      180
Equivalent atlases      56
Equivalent equations      128
Equivalent smooth structures      58
Euclid      14 15 93
Euclidean metric      235
Euler class      228
Euler class transformation      121
Euler, L.      121 228 229
Exact differential form      71
Exceptional Lie group      96
Exponential map      75
Extension of a tensor at a point      76
Exterior algebra      67
Exterior product      67
Faltings, G.      17
Federer, L.      207
Feldmann      198 199
Fenchel, W.      241
Fermat, P.      14—16
Field of geometric quantities of order 1      151
Field of geometric quantities of type $W$      151
Field of parallel vectors along a curve      34 41 73
Field of tangent vectors of order k      152
Field quantity      52
First Bianchi identity      46 79 163
First quadratic form      29 40
Flat $G$-structure      188
Flat connection      78 162
Flat geometric structure      181
Flat section      181
Flow      62
Fomenko, A.T.      208
Form of the first kind      234
Formally integrable $G$-structure      188
Formally integrable differential equation      138 171
Formally integrable system of differential equations      138
Fr$\ddot{o}$licher, A.      240
Frame of order $k$      149
Free action of a group      154
Frenet formula      27
Frenet frames      26
Frenet, J.F.      26
Frenkel, T.T.      208
Frobenius, F.      128 186
Full linear group      96
G$-structure      152
G$-structure of finite type      188
Gaffney, P.W.      247
Galois group      93
Galois, E.      93 94
Gauge transformation      155
Gauge vector field      161
Gauss, C.F.      28 37—40 50 5 1 202
Gaussian curvature      28 31 47
Gaussian curvature form      226
Gaussian map      36 228 241
Gel’fand, I.M.      229
Generalized $G$-structure      157
Generating function      123
Generating function of a contact transformation      122
Generating function of a higher symmetry      148
Genre of a Pfaff system      144
Geodesic      42 73
Geodesic curvature      32 42
Geodesic curvature vector      32
Geodesic curve      32
Geodesics of a Riemannian manifold      73
Geometric quantity of type $W$      151 158
Geometrical curve      25
Geometrical structure of type $W$      158
Giorgi, E.de      208
Giusti, M.      208
Global Gauss — Bonnet formula      37
Globalizable pseudogroup      190
Goldschmidt, H.      141
Graded Lie superalgebra      237
Gradient of a function      178
Grassmann algebra      67 68
Grassmann bundle      159
Grassmann manifold      109
Grassmann, H.G.      152
Green, R.E.      20
Griffiths, P.      24 205
Gromov, M.L.      204 217 219
Group of unimodular transformations      96
Group structure      236
Guillemin, V.      189 195
Halphen, G. — H.      177
Hamburger, H.      198
Hamiltonian      88
Hamiltonian group of automorphisms      111
Hamiltonian vector field      89
Handle of given index      220
Harmonic form      166 233
Heisenberg, W.      154
Herglotz, G.      201
Higher curvature of a curve      27
Higher infinitesimal symmetry of a differential equation      148
Higher symmetry of a differential equation      147
Hilbert, D.      202 203
Hirzebruch, F.      225 231
Hitchin, N.      81
Hodge, W.V.D.      211
Holomorphic form      232
Holomorphic tangent bundle      233
Holomorphic vector bundle      232
Holonomy algebra      83
Holonomy algebra of a linear connection      82
Holonomy algebra of a Riemannian manifold      82
Holonomy group      82 162
Homogeneous Hamiltonian manifold      111
1 2 3
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2020
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте