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Osserman Manifolds In Semi-Riemannian Geometry Book

Osserman Manifolds In Semi-Riemannian Geometry
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 has a rating of 4 stars
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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
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  • Osserman Manifolds In Semi-Riemannian Geometry
  • Written by author Eduardo Garcia-Rio
  • Published by Springer Berlin Heidelberg, March 2002
  • 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
  • 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
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1The Osserman Conditions in Semi-Riemannian Geometry1
1.1The Jacobi Operator1
1.2The Timelike and Spacelike Osserman Conditions at a Point3
1.3Semi-Riemannian Pointwise and Global Osserman Manifolds9
2The Osserman Conjecture in Riemannian Geometry21
2.1Partial Solution to the Osserman Conjecture22
2.2A Solution to the Osserman Conjecture with Additional Assumptions31
3Lorentzian Osserman Manifolds39
3.1The Complete Solution to the Osserman Problem39
3.2The Null Osserman Condition44
4Four-Dimensional Semi-Riemannian Osserman Manifolds with Metric Tensors of Signature (2,2)63
4.1Nonsymmetric Semi-Riemannian Osserman Manifolds with Metric Tensors of Signature (2,2)64
4.2Semi-Riemannian Osserman and Jordan-Osserman Manifolds with Metric Tensors of Signature (2,2)70
5Semi-Riemannian Osserman Manifolds95
5.1Nonsymmetric Semi-Riemannian Osserman Manifolds of Arbitrary Signature95
5.2Special Semi-Riemannian Osserman Manifolds102
5.3Classification of Semi-Riemannian Special Osserman Manifolds104
6Generalizations and Osserman-Related Conditions137
6.1Semi-Riemannian Generalized Osserman Manifolds137
6.2The Osserman Condition in Affine Differential Geometry143
6.3Riemannian Manifolds with Isoparametric Geodesic Spheres150
6.4Riemannian [actual symbol not reproducible]-manifolds151
6.5Skew-Symmetric Curvature Operators152
References157
Index165


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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

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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

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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

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