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1 | The Osserman Conditions in Semi-Riemannian Geometry | 1 |
1.1 | The Jacobi Operator | 1 |
1.2 | The Timelike and Spacelike Osserman Conditions at a Point | 3 |
1.3 | Semi-Riemannian Pointwise and Global Osserman Manifolds | 9 |
2 | The Osserman Conjecture in Riemannian Geometry | 21 |
2.1 | Partial Solution to the Osserman Conjecture | 22 |
2.2 | A Solution to the Osserman Conjecture with Additional Assumptions | 31 |
3 | Lorentzian Osserman Manifolds | 39 |
3.1 | The Complete Solution to the Osserman Problem | 39 |
3.2 | The Null Osserman Condition | 44 |
4 | Four-Dimensional Semi-Riemannian Osserman Manifolds with Metric Tensors of Signature (2,2) | 63 |
4.1 | Nonsymmetric Semi-Riemannian Osserman Manifolds with Metric Tensors of Signature (2,2) | 64 |
4.2 | Semi-Riemannian Osserman and Jordan-Osserman Manifolds with Metric Tensors of Signature (2,2) | 70 |
5 | Semi-Riemannian Osserman Manifolds | 95 |
5.1 | Nonsymmetric Semi-Riemannian Osserman Manifolds of Arbitrary Signature | 95 |
5.2 | Special Semi-Riemannian Osserman Manifolds | 102 |
5.3 | Classification of Semi-Riemannian Special Osserman Manifolds | 104 |
6 | Generalizations and Osserman-Related Conditions | 137 |
6.1 | Semi-Riemannian Generalized Osserman Manifolds | 137 |
6.2 | The Osserman Condition in Affine Differential Geometry | 143 |
6.3 | Riemannian Manifolds with Isoparametric Geodesic Spheres | 150 |
6.4 | Riemannian [actual symbol not reproducible]-manifolds | 151 |
6.5 | Skew-Symmetric Curvature Operators | 152 |
References | 157 | |
Index | 165 |
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Add Osserman Manifolds In Semi-Riemannian Geometry, The subject of this book is Osserman semi-Riemannian manifolds, and in particular, the Osserman conjecture in semi-Riemannian geometry. The treatment is pitched at the intermediate graduate level and requires some intermediate knowledge of differential ge, Osserman Manifolds In Semi-Riemannian Geometry to the inventory that you are selling on WonderClubX
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Add Osserman Manifolds In Semi-Riemannian Geometry, The subject of this book is Osserman semi-Riemannian manifolds, and in particular, the Osserman conjecture in semi-Riemannian geometry. The treatment is pitched at the intermediate graduate level and requires some intermediate knowledge of differential ge, Osserman Manifolds In Semi-Riemannian Geometry to your collection on WonderClub |