Garcia-Rio E., Kupeli D.N., Vazquez-Lorenzo R. — Osserman Manifolds in Semi-Riemannian Geometry :: Электронная библиотека попечительского совета мехмата МГУ

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Garcia-Rio E., Kupeli D.N., Vazquez-Lorenzo R. — Osserman Manifolds in Semi-Riemannian Geometry

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Название: Osserman Manifolds in Semi-Riemannian Geometry

Авторы: Garcia-Rio E., Kupeli D.N., Vazquez-Lorenzo R.

Аннотация:

Provides counter examples to the Osserman conjuncture in generic semi-Riemannian signature provided. The properties of semi-Riemannian Osserman manifolds are investigated. Softcover.

Язык:

Рубрика: Математика/Геометрия и топология/Дифференциальная геометрия/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2002

Количество страниц: 178

Добавлена в каталог: 23.04.2005

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

Предметный указатель

$\mathfrak{C}$ -space      152
$\varphi$ -sectional curvature      61
2-stein      10
Admissible      154
Affine Killing vector      146
Affine Osserman      143
Algebraic curvature map      6
Algebraic curvature tensor      6 140
Algebraic Osserman      70
Almost complex manifold      16
Almost complex metric $L^{\bot}$ -substructure      57
Almost complex structure      16 61
Almost contact structure      60
Almost para-Hermitian manifold      19
Almost paracomplex structure      19
Almost quaternionic manifold      17
Almost quaternionic metric $L^{\bot}$ -substructure      60
Almost quaternionic structure      18
Anti-self dual      79
Anti-self-dual      80
Bochner tensor      96
Cayley planes      135
Celestial sphere      46
Characteristic vector field      60
circle      155
Clifford module structures      7
Clifford structure      117 140
Clifford structures      22
Complete lift      100
Complete lift metric tensor      100
Complete lift of a 1-form      100
Complete lift of a vector field      100
Complete lift vector field      147
Complex algebraic curvature tensor      140
Complex hyperbolic space      135
Complex k-Osserman      140
Complex projective space      135
Complex space form      17 57 136
Complex sphere      135
Complex structure      6 51 119
Complex-analytic extension      85
Complex-analytic metric tensors      85
Conjugate shape operator      57
Conjugate shape operators      60
Contact manifold      60
Curvature homogeneous      78
Curvature tensor      2
Deformed complete lift metric tensor      100 101
Fubini — Study metric      141
Generalized complex space form      17
Generalized Jacobi operator      137 141
Generalized Osserman condition      140
Generalized Osserman conditions      141
Generalized Osserman manifold      137
Geometric realization      46
Geometrically realized      46
Globally Jordan — Osserman      77
Globally k-Osserman      138
Globally null Osserman      53
Globally Osserman      9
Grassmannian      40 137 153
Harmonic Riemannian manifold      150
Hermitian      7 98
Hermitian inner product space      7
Hodge star      79
Holomorphic      17
Holomorphic sectional curvature      17 96
Indecomposable      60
Indefinite sphere      135
IP-algebraic curvature tensor      154
Isoparametric geodesic spheres      150
Ivanov — Petrova      153
Jacobi operator      2 6 44 143
Jordan — Osserman      77 96
K-contact manifold      60
k-harmonic Riemannian manifold      150
k-Osserman      138

k-planes      137
k-stein      29
Kaehler manifold      16
Kaehlerian      18
Lie algebras of Iwasawa type      36
Lift      99
Locally isotropic      10
Locally symmetric      22
Lorentzian almost contact manifold      60
Lorentzian k-Osserman manifolds      142
Lorentzian manifold      39
Lorentzian Sasakian space form      61
Lorentzian spacelike Osserman      42
Lorentzian warped product      53
Neutral signature      70 85 115
Nonnull      1
NULL      1
Null congruence      45
Null isotropic      47
Null Osserman      45
Null Osserman Lorentzian manifolds      60
Null vector isotropic      47
Osserman      5 6
Osserman algebraic curvature tensors      6 7
Osserman conjecture      22
Osserman curvature tensors      22
Para-Hermitian      7
Para-Hermitian inner product space      7
Para-Kaehler manifold      19
Paracomplex space form      19 135
Paracomplex structure      7 120
Paraholomorphic      19
Paraholomorphic sectional curvature      19
Paraquaternionic Kaehler manifold      20
Paraquaternionic sectional curvature      20
Paraquaternionic space form      20 135
Paraquaternionic structure      19 120
Plane      17 19
Pointwise      22
Pointwise Jordan — Osserman      77
Pointwise null Osserman      53
Pointwise Osserman      9
Product structure      7
Quaternionic hyperbolic space      135
Quaternionic metric structure      18
Quaternionic projective space      135
Quaternionic sectional curvature      18
Quaternionic space form      18 60 136
Quaternionic structure      52 120
Real space form      16 56
Recurrent      89
Riemann extension      147
Riemannian metric tensor      153
Sasakian manifold      61
Self-dual      79 80
Semi-Riemannian Jordan — Osserman manifolds      84
Shape operator      57
Spacelike      1
Spacelike Osserman      4
Spatially isotropic      46
Special Osserman      103
Standard Einstein solvmanifold      36
Timelike      1
Timelike Osserman      3
Trace-free Ricci tensor      80
Unit circle      155
Unit nonnull bundle      2
Unit spacelike bundle      2
Unit timelike bundle      2
Vector      1
Vertical      99
Vertical lift      147
Vertical lift 1-form      99
Vertical lift function      99
Vertical vector field      99
Weakly complex algebraic curvature tensor      140
Weakly complex Osserman      140
Weyl tensor      49

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