Электронная библиотека Попечительского совета механико-математического факультета Московского государственного университета   Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум    Авторизация         Поиск по указателям Michor P.W. — Topics in Differential Geometry Обсудите книгу на научном форуме Нашли опечатку? Выделите ее мышкой и нажмите Ctrl+Enter Название: Topics in Differential Geometry Автор: Michor P.W. Язык: Рубрика: Математика/Геометрия и топология/Дифференциальная геометрия/ Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 2002 Количество страниц: 317 Добавлена в каталог: 19.04.2005 Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID Предметный указатель 1-form      73 Adjoint representation      46 Algebraic bracket      135 Algebraic derivation      134 Almost complex structure      142 Anholonomic      17 Associated bundle      158 Atlas      3 Base      12 61 Base space      143 Basis manifold      143 Betti number      88 Bianchi identity      144 Bundle      143 Caley — Hamilton equation      201 Canonical flip      67 Cech cohomology set      62 Center      55 centralizer      55 Characteristic class      194 Chart      3 Charts with boundary      85 Chern character      206 Chern classes      205 Chern — Weil form      194 Chern — Weil homomorphism      194 Christoffel forms      146 Classical complex Lie groups      39 Classifying spaces      163 Closed form      88 Cocurvature      140 Cocycle condition      62 143 Cocycle of transition functions      62 143 Cohomological integral      111 Cohomologous      62 154 Cohomology classes      62 Cohomology group      92 Cohomology of the Lie algebra      130 Compatible      61 complete      20 Complete connection      147 Conjugation      45 Connection      140 144 Connection form, Lie algebra valued      172 Connector      187 Contact of order      209 Cotangent bundle      73 Covariant derivative      187 Covariant exterior derivative      176 189 Curvature      140 188 Curvature form, Lie algebra valued      173 Curve of local diffeomorphisms      24 De Rham cohomology algebra      88 De Rham cohomology algebra with compact supports      99 Degree      119 densities      81 Density or volume of the Riemannian metric      83 Derivation      6 Derivations, graded      134 Diffeomorphic      4 Diffeomorphism      4 Differential      9 Differential form      74 Differential group of order      211 Distinguished chart      29 33 distribution      28 29 Effective action      55 Ehresmann connection      148 Equivalent      3 61 Euler — Poincare characteristic      89 Evolution operator      35 Exact      80 Exponential mapping      43 Exterior derivative      77 f-dependent      141 F-related      21 141 Fiber      61 Fiber bundle      143 Fiber chart      143 Fibered composition of jets      211 Fibered manifold      12 First non-vanishing derivative      24 Flow line      19 Flow prolongation      71 Foliation      31 Frame field      17 64 free      55 Frolicher — Nijenhuis bracket      136 Fundamental vector field      57 58 G-atlas      154 G-bundle      154 G-bundle structure      154 Gauge transformations      166 General linear group      37 Geometric objects      214 Germ of f at x      6 global      20 Graded derivations      134 Graded differential space      91 Grassmann manifold      156 Haar measure      122 Hairy ball theorem      119 Half space      85 Holonomic      17 Holonomic frame field      17 Holonomous      73 Holonomy group      149 179 Holonomy Lie algebra      149 Homogeneous space      56 Homomorphism of G-bundles      161 Homomorphism over of principal bundles      157 Homotopy operator      90 Horizontal bundle      144 Horizontal differential forms      176 Horizontal foliation      145 Horizontal lift      144 Horizontal projection      144 Horizontal space      140 Horizontal vectors      144 Ideal      54 Idealizer      55 Immersed submanifold      13 Immersion at      12 INDEX      208 Induced connection      183 184 Induced representation      165 Infinitesimal automorphism      31 Initial submanifold      14 Inner automorphism      45 insertion operator      76 Integrable      28 31 Integral curve      19 Integral manifold      30 Integral of the density      81 Invariant of the Lie algebra      193 Invertible      213 Involution      67 Involutive      28 33 Irreducible *-principle connection      180 Jet at      209 k-form      74 k-th order frame bundle      214 Leaf      31 Left action      55 Left invariant      40 Left invariant differential form      121 127 Left logarithmic derivative      47 Lie algebra      18 Lie bracket      18 Lie derivation      135 Lie derivative      22 70 75 Lie group      36 Lie subgroup      52 Linear connection      186 187 Linear frame bundle of      162 Local diffeomorphism      4 Local vector field      17 Long exact cohomology sequence with compact supports      111 Manifold pair      97 111 Manifold with boundary      85 Maurer — Cartan equation      146 Maurer — Cartan form      47 Maximal      30 Natural bilinear concomitants      142 Natural bundles      214 Natural lift      71 Natural transformation      71 Natural vector bundle      68 Nijenhuis tensor      142 Nijenhuis — Richardson bracket      135 normalizer      55 One parameter subgroup      42 Orbit      55 Orientable      84 Orientable double cover      114 Orientations      84 Oriented manifold      84 Orthogonal group      37 Orthonormal frame bundle      163 Orthonormal frame field      163 Pfaffian class      205 Plaque      29 33 Poincare polynomial      89 Pontryagin character      202 Pontryagin classes      197 Pontryagin numbers      199 Principal (fiber) bundle      154 Principal bundle atlas      154 Principal connection      172 Principal fiber bundle homomorphism      157 Principal right action      155 PRODUCT      10 Projection      61 143 Proper homotopy      100 Proper smooth mappings      99 Pullback      145 Pullback vector bundle      65 Pure      3 Quaternionic unitary group      40 Quaternionically linear      40 Quaternionically unitary      40 Reduction of the structure group      157 Relative De Rham cohomology      97 Relative De Rham cohomology with compact supports      111 Representation      45 Restricted holonomy group      149 179 Riemannian metric      162 Right action      55 Right invariant      41 Right logarithmic derivative      46 Right trivialized derivative      123 Section      61 Semidirect product      59 Short exact sequence      92 Signature      118 Singular foliation      31 Smooth distribution      30 Smooth functor      64 Smooth partitions of unity      5 Source mapping      209 Source of a jet      209 spans      29 Special linear group      37 Special orthogonal group      37 Special unitary      39 Sphere      4 Stable      31 Stably equivalent      199 Standard fiber      61 143 Stereographic atlas      4 Stiefel manifold      156 Structure      3 Submanifold      9 Submanifold charts      9 Submersion      12 Support      5 61 Support of a vector field      20 Symplectic group      38 Tangent bundle      8 Tangent space of M at x      7 Tangent vector      6 Target mapping      209 Target of a jet      209 Tensor field      71 73 Time dependent vector field      35 Todd class      207 Topological manifold      3 Total Chern class      205 Total Pontryagin class      197 Total space      12 61 143 Trace classes of a complex vector bundle      206 Trace coefficients      199 Transformation formula for multiple integrals      81 Transition functions      61 143 Transitive action      55 Transversal      15 Truncated composition      210 Typical fiber      61 Unimodular Lie group      122 Unitary      39 Universal vector bundle      169 Vector bundle      61 Vector bundle atlas      61 Vector bundle chart      61 Vector bundle functor      68 Vector bundle homomorphism      64 Vector bundle isomorphism      64 Vector field      17 Vector product      39 Vector subbundle      28 64 Vector valued differential forms      134 Vertical bundle      67 144 170 Vertical lift      67 Vertical projection      67 144 Vertical space      140 Volume      83 Volume bundle      81 Zero section      61 Zero set      5 Реклама        © Электронная библиотека попечительского совета мехмата МГУ, 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