Geometric Properties of Natural Operators Defined by the Riemann Curvature Tensor
Language: English
Published by World Scientific Pub Co Inc, 2001
- Hardcover
- New
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- Title
- Geometric Properties of Natural Operators Defined by the Riemann Curvature Tensor
- Author
- Peter B Gilkey
- Publisher
- World Scientific Pub Co Inc
- Publication year
- 2001
- Condition
- New
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 9810247524
- ISBN 13
- 9789810247522
The book presents algebraic preliminaries and various Schur type problems; deals with the skew-symmetric curvature operator in the real and complex settings and provides the classification of algebraic curvature tensors whose skew-symmetric curvature has constant rank 2 and constant eigenvalues; discusses the Jacobi operator and a higher order generalization and gives a unified treatment of the Osserman conjecture and related questions; and establishes the results from algebraic topology that are necessary for controlling the eigenvalue structures. An extensive bibliography is provided. Results are described in the Riemannian, Lorentzian, and higher signature settings, and many families of examples are displayed.
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Romtrade Corp.
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