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 Dupont J.L. — Curvature and Characteristic Classes Обсудите книгу на научном форуме Нашли опечатку? Выделите ее мышкой и нажмите Ctrl+Enter Название: Curvature and Characteristic Classes Автор: Dupont J.L. Язык: Рубрика: Математика/ Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 1978 Количество страниц: 175 Добавлена в каталог: 10.06.2008 Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID Предметный указатель Absolute neighbourhood rectract (ANR)      73 Adjoint representation      44 Alexander-Whitney map      31 Approximation to the diagonal      30 Barycentric coordinates      3 Base space of principal G-bundle      39 Bianchi identity      49 Bundle isomorphism      40 Bundle map      40 Canonical connection      94 Canonical line bundle      99 Canonical orientation of       102 Chain, complex       8 23 Chain, complex with support      9 Chain, equivalence      10 Chain, homotopy      9 Chain, map      9 Characteristic class      63 71 Chern classes      68 97 Chern polynomials,       68 Chern — Weil homomorphism      63 Chern — Weil homomorphism for BG      94 Classifying space      71 Closed differential form      4 Cochain      8 Cochain, complex       8 23 Cochain, complex , with support      9 Cocycle condition      40 Complex (of modules)      12 Complex Chern — Weil homomorphism      65 Complex line bundle      99 Complex projective space      99 Complexification of a Lie group      134 Complexification of a vector bundle      104 Connection      38 46 Connection in a simplicial G-bundle      94 Continuous functor      78 Continuous natural transformation      87 Covariant derivative      58 Covariant, differential      58 Cup-product      20 30 Curvature form      49 94 De Rham cohomology      4 de Rham cohomology, complex      2 de Rham's theore for a simplicial manifold      92 de Rham's theore for a simplicial set (= Whitney's theorem)      23 de Rham's theorem      11 Degeneracy operator       21 Derivation      36 Differentiable simplicial map      89 Differential form      1 Differential form on a simplicial manifold      91 Differential form on a simplicial set      22 Differential form with values in a vector space      43 Differential in a chain complex      12 Differential's in a double complex      12 distribution      52 Double complex      12 Double complex, associated to a covering      15 17 Double simplicial set      83 Edge-homomorphism      14 Elementary form       25 Equivariant differential form      48 Equivariant map      39 Euler class      05 108 Euler — Poincare characteristic      10 Exact differential form      4 Excision property      9 Extension of a G-bundle      42 Exterior differential      1 44 91 Exterior product       1 44 91 Face map       6 Face operator       7 21 Fat realization      75 Fibre bundle      42 Fibre bundle of principal G-bundle      39 filling      146 163 Flat bundle      144 Flat connection      47 51 Foliation      52 Frame bundle      38 Free G-action      72 Fundamental class      111 Gauss — Bonnet formula      112 Geodesic simplex      150 Geodesically convex      11 Geometric realization      75 Graded commutative      1 Group cohomology      145 Hirzebruch proportionality principle      161 Homotopy of maps      9 Homotopy of simplicial maps      35 Homotopy property      9 Hopf bundle      99 Hopf's formula      109 Horizontal differential form      48 Horizontal tangent vectors      38 46 Induced bundle (= "pull-back")      41 Induced differential form      2 Integration      6 112 Integration along a manifold      22 Integration map, I      10 23 92 Integration operators,       4 7 Invariant differential form      48 Invariant polynomial      62 Jordan-decomposition      135 Levi-Civita connection      56 Local index of vector field      109 Local trivialization      40 42 Maurer — Cartan connection      47 Maximal torus      115 Natural transformation      10 Nerve      77 Nerve of a covering,       79 Nilpotent element      135 Normal cochain      35 Normal neighbourhood      11 Normal simplicial k-form      36 Oriented vector bundle      108 Orthonormal frame bundle      43 Parallel translation      38 Pfaffian polynomial      66 Poincare's lemma      4 Poincare's upper halfplane      161 Polarization      62 Polynomial form      37 Polynomial function      62 Pontrjagin classes      66 103 Pontrjagin polynomials      66 Positive root      137 Principal -covering      159 Principal G-bundle      39 Rational differential form      37 Realification      106 Reduction of a G-bundle      42 Regular element      128 Relative Euler class      108 Root      137 Root space decomposition      126 Semi-simple element      135 Simplicial chain complex      23 Simplicial cochain complex      23 Simplicial de Rham complex      20 91 Simplicial form      22 Simplicial G-bundle      93 Simplicial homotopy      35 Simplicial manifold      89 Simplicial map      21 Simplicial set      21 Simplicial space      75 Singular boundary operator      8 Singular chain      8 Singular coboundary operator      8 Singular cochain      8 Singular cohomology      8 Singular element in a L i e algebra      42 Singular homology      8 Singular simplex      7 Skew-Hermitian matrix      68 Standard simplex      3 Star-shaped set      4 Stoke's theorem      6 Strongly free G-action      72 Structural equation      49 Symmetric algebra      69 Symmetric multilinear function      61 Symmetric power      69 Symplectic group      52 Tensor algebra      68 Tensor property      1 Thom class      108 Topological category      77 Topological principal G-bundle      71 Torsion-form      55 Torus      117 Total Chern class      99 Total complex      12 Total Pontrjagin class      104 Total space of principal G-bundle      39 Transition functions      40 Trivial bundle      40 Vertical tangent vectors      45 Weyl group      115 Whitney duality formula      100 105 110 Whitney sum      98 Реклама        © Электронная библиотека попечительского совета мехмата МГУ, 2004-2025 | | О проекте