Kowalski O. — Generalized Symmetric Spaces :: Электронная библиотека попечительского совета мехмата МГУ

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Kowalski O. — Generalized Symmetric Spaces

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Название: Generalized Symmetric Spaces

Автор: Kowalski O.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1980

Количество страниц: 187

Добавлена в каталог: 18.08.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

$(G, H, \sigma )$       53
$(M, \mu )$       47
$(M, \{ s_x \} )$       52
$Cl( \{ s_x \} )$       2
$Cl( \{ s_x \} , p)$       7
      4
$Cl^a ( \{ s_x \} )$       65
$G^\sigma$ , $(G^\sigma )^{.}$       9 53
      4
$K_\ell$       41
      5
      1
$Tr(M, \nabla )$       36
$Tr(M, \{ s_x \} )$       58
$x^{-1} \cdot y$       49
$\Lambda^n$       121 123
$\mathcal{A}^n$       117
$\mathcal{B}^n$       119
$\mathcal{D}^n$       120
$\mathcal{E}^n$       119
$\mathcal{L}^n$       121
$\omega$       173
$\theta$       174
$\theta$ -variety (in the theory of eigenvalues)      116
$\underline{g}_{OA}$ , $\underline{g}_{lA}$       53
$\{ s_x \colon x \in M \}$       2
(M,g)      1
Admissible s-structure      111
Affine connection      173
Affine connection, complete      176
Affine locally symmetric space      45
Affine map      175
Affine reductive space      41
Affine s-structure      168
Affine symmetric space      45
Affine transformation      175
Amalgamating decomposition      99
Amalgamation (of s-manifolds)      99
Aut(M)      47
Automorphism of a regular s-manifold      47
Autoparallel submanifold      89
Bianchi identities      33 175
Canonical connection of a local regular s-structure      25 70
Canonical connection of a reductive homogeneous space      29
Canonical connection of a regular s-manifold      47 52
Canonical form on the principal frame bundle      174
Cartan (-) connection      41
Centerless infinitesimal s-manifold      100
Characteristic variety (in the theory of eigenvalues)      116
Closed subset of eigenvalues      108
Complexification of a generalized symmetric Riemannian space      105
Complexification of a regular s-manifold      103
Connection form      173
Covariant derivative      174
Curvature form      174
Curvature tensor field      174
Der(M)      49
Derivation (of a manifold with multiplication)      48
Direct product of regular s-manifolds      93
Direct sum of infinitesimal s-manifolds      94
Elementary transvection      57
Exterior covariant differential      173
Fitting 0-component, 1-component      53
Fitting lemma      53
Foliations (in regular s-manifolds, in generalized symmetric spaces)      91 98
Free point (of a Riemannian manifold)      128
Generalized affine symmetric space      111
Generalized affine symmetric space of semi-simple type      114
Generalized affine symmetric space of solvable type      114
Generalized affine symmetric space, primitive      115
Generalized affine symmetric space, unitary      113
Generalized pointwise symmetric R. space      164
Generalized symmetric Hermitian space      102
Generalized symmetric Riemannian space      8
Generalized symmetric Riemannian space without infinitesimal rotations      104
Generalized symmetric Riemannian space, proper      134
Group of automorphisms of a regular s-manifold      47
Group of transvections of a regular s-manifold      58
Group of transvections of an affine manifold      36
Hermitian regular s-structure (s-manifold)      102
Holonomy group      177
I(M,p)      4
Induced G-invariant metric      11
Infinitesimal isomorphism of regular s-manifolds      74
Infinitesimal model of a (locally) regular s-manifold      74 82
Infinitesimal s-manifold      73 82
Integrable tensor field S      88
Invariant almost complex structure      84
Invariant almost Hermitian structure      86

Invariant complex structure      86
Invariant foliation      91
Invariant infinitesimal submanifold      90
Invariant Kaehlerian structure      87
Invariant submanifold      90
Invariant tensor field      84
Irreducible generalized affine symmetric space      161
Irreducible infinitesimal s-manifold      94
Irreducible regular s-manifold      93
Irreducible Riemannian space      20
Irreducible set of eigenvalues      109
Isomorphism of infinitesimal s-manifolds      74 82
Isomorphism of regular s-manifolds      74 81
k-symmetric Riemannian manifold      8
Killing form      11
L(v)      50
Lattice point (in the theory of eigenvalues)      121
Levi decomposition      97
Local automorphism      69
Local geodesic symmetry      1 45
Local isomorphism      69
Local regular s-structure      23 68 81
Local regular s-triplet      76
Local regular s-triplet, effective      77
Local regular s-triplet, prime      77
Local symmetry      24 69
Locally regular s-manifold      69
Locally regular s-manifold, Riemannian      81
Lorentzian symmetric space      172
Metrizable regular s-manifold      65
Nearly Kaehler structure      171
Nijenhuis tensor      86 88
Order of a free point      128
Order of a generalized affine symmetric space      113
Order of a generalized symmetric Riemannian space      8
Order of a periodic tensor structure      128
Order of an s-structure      4
Parallel transport      176
Periodic tensor structure      128
Pointed affine manifold      41
Pointed regular s-manifold      60
Prime reductive homogeneous space      41
Prime regular homogeneous s-manifold      53
Primitive generalized affine symmetric space      115
Principal frame bundle      173
Proper generalized symmetric R. space      134
Pseudo-Riemannian symmetric space      172
Pseudoduality      106 107
Reducible infinitesimal s-manifold      94
Reducible regular s-manifold      93
Reducible set of eigenvalues      109
Reduction theorem (in the theory of connections)      36
Reductive homogeneous space      10 27
Regular homogeneous s-manifold      53
Regular s-manifold      47
Regular s-manifold of finite order      62
Regular s-manifold of semi-simple type      96
Regular s-manifold of solvable type      96
Regular s-structure      74 81
Regular s-structure, parallel, non-parallel      22 23 168
Riemannian space without infinitesimal rotations      65 104
Riemannian space, generalized symmetric      8
Riemannian space, homogeneous      9
Riemannian space, k-symmetric      8
Riemannian space, locally symmetric      1
Riemannian space, symmetric      1
S      6
S-structure      4
s-structure of finite order      4 113
s-structure of infinite order      113
s-structure of order k      4
s-structure, regular      7 74 81
s-structure, Riemannian      4
Semi-simple symmetries      112
Set of eigenvalues of a regular s-manifold      108
Similarity (of locally regular s-manifolds)      69
Structural equations (of a connection)      174
Symmetric space (by O. Loos)      45
Symmetry in a distributive groupoid      46 47
Symmetry, affine      45
Symmetry, generalized      2 47
Symmetry, geodesic      1 45
System of eigenvalues (of a regular s-structure)      118
Torsion form      174
Torsion tensor field      174
Tr(M)      36 58
Tr*(M)      39
Weakly invariant submanifold      92
Weakly invariant subspace      92
Weakly invariant tensor field      88

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