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. — Gauge Theory for Fiber Bundles Обсудите книгу на научном форуме Нашли опечатку? Выделите ее мышкой и нажмите Ctrl+Enter Название: Gauge Theory for Fiber Bundles Автор: Michor P.W. Язык: Рубрика: Математика/Геометрия и топология/Алгебраическая и дифференциальная топология/ Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 1988 Количество страниц: 105 Добавлена в каталог: 16.04.2005 Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID Предметный указатель -topology      6 -manifold structure of       19 -manifold structure on       19 -respecting connection      100 -respecting connection      92 -respecting connection      98 Algebraic bracket      28 Algebraic derivation      27 Anti self dual      99 Approximation property (bornological)      15 Associated bundle      48 Associated vector bundles      52 Base space      36 Basis      36 Bianchi identity      37 Bundle      36 Bundle atlas      36 Bundle of gauges      54 Cartesian closedness      8 11 13 Characteristic class      94 Chern class      97 Christoffel forms      39 Classifying connection      87 Classifying space      53 87 89 Cocurvature      33 Cocycle condition      36 Cocycle of transition functions      36 Cohomologous      44 Complete connection      41 Connection      32 37 92 Connection form      95 Connection form (Lie algebra valued)      60 Connector      69 Continuous derivation over eva      14 Convenient vector space      7 Covariant derivative      63 70 Covariant derivative on vector bundles      70 Covariant exterior derivative      63 71 Curvature      32 33 37 70 Curvature form      96 Curvature form (Lie algebra valued)      60 De Rham cohomology of M with twisted coefficient domain       92 Derivations (graded)      27 Diffeomorphism group      22 Ehresmann connection      41 Equivariant mappings and associated bundles      50 Exponential law      20 f-dependent      33 F-related      33 Fiber bundle      36 Fiber bundle atlas      36 Fiber chart      36 Fiber volume      90 Fiberwise symplectic form      98 Flat connections      38 Frame bundle      81 Frolicher — Nijenhuis bracket      29 Fundamental vector field      5 G-atlas      44 G-bundle      44 G-bundle structure      44 Gauge group of a fiber bundle      83 Gauge transformations      54 General Bianchi identity      33 Generalization of the theorem of Ambrose and Singer      77 Global formula for the Frolicher — Nijenhuis bracket      30 Grassmann manifold      46 Hodge-*-operator      99 Holomorphic      10 Holomorphic curves      10 Holonomy group      65 76 Holonomy groups for principal connections      65 Holonomy Lie algebra      76 Homogeneous spaces      45 Homomorphism of G-bundles      51 Homomorphism over of principal bundles      47 Horizontal bundle      37 Horizontal differential forms      63 Horizontal foliation      38 Horizontal lift      37 Horizontal projection      37 Horizontal space      32 Horizontal vectors      37 Induced connection      66 61 Inducing principal connections on associated vector bundles      69 Irreducible principle connection      66 Kinematic tangent vector      14 Lie derivation      28 Lie group      5 Linear connection      69 Linear frame bundle      52 Local description of connections      38 Local descriptions of principal connections      62 Local formulas for the Frolicher — Nijenhuis bracket      31 Manifold structure of       17 Maurer — Cartan formula      39 n-transitive      23 Natural bilinear concomitants      34 Naturality of the Frolicher — Nijenhuis bracket      33 Nearly complex structure      35 Nijenhuis tensor      35 Nijenhuis — Richardson bracket      28 Nonlinear frame bundle      81 Operational tangent vector      14 Orthonormal frame bundle      53 Orthonormal frame field      52 Parallel transport      39 Principal (fiber) bundle      44 Principal bundle atlas      44 Principal bundle of embeddings      24 Principal connection      60 Principal fiber bundle homomorphism      47 Principal right action      45 Projection      36 Proper      20 Pullback      38 Pullback of fiber bundles      37 Pullback operator      34 Real analytic      12 Real analytic curves      12 Real analytic mappings      12 Recognizing induced connections      67 Reduction of the structure group      47 Regular      23 Restricted holonomy group      65 76 Riemannian metric      52 Right logarithmic derivative      58 Sections of associated bundles      53 Self dual      99 Smooth      6 7 Smooth curves in       18 Smooth mappings      7 Smooth partitions of unity      14 Smoothness of composition      19 Space of connections      84 Standard fiber      36 Stiefel manifold      46 Tangent and vertical bundles of principal and associated bundles      58 Tangent bundles of Grassmann manifolds      56 Tangent bundles of homogeneous spaces      54 Tangent group of a Lie group      57 Tangent vectors as derivations      16 Theorem of Hartogs      10 Topologically real analytic      12 Total space      36 Transformation law for the Christoffel forms      39 Transition functions      36 Universal vector bundle      56 Vector valued differential forms      27 Vertical bundle      37 Vertical projection      37 Vertical space      32 Yang — Mills functional      100 Реклама        © Электронная библиотека попечительского совета мехмата МГУ, 2004-2025 | | О проекте