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Modern Geometric Structures and Fields
About this Title
S. P. Novikov, University of Maryland, College Park, MD and I. A. Taimanov, Russian Academy of Sciences, Novosibirsk, Russia. Translated by Dmitry Chibisov
Publication: Graduate Studies in Mathematics
Publication Year:
2006; Volume 71
ISBNs: 978-0-8218-3929-4 (print); 978-1-4704-2110-6 (online)
DOI: https://doi.org/10.1090/gsm/071
MathSciNet review: MR2264644
MSC: Primary 53-01; Secondary 53-02, 53C80, 58-01, 58-02
Table of Contents
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Front/Back Matter
Chapters
- Chapter 1. Cartesian spaces and Euclidean geometry
- Chapter 2. Symplectic and pseudo-Euclidean spaces
- Chapter 3. Geometry of two-dimensional manifolds
- Chapter 4. Complex analysis in the theory of surfaces
- Chapter 5. Smooth manifolds
- Chapter 6. Groups of motions
- Chapter 7. Tensor algebra
- Chapter 8. Tensor fields in analysis
- Chapter 9. Analysis of differential forms
- Chapter 10. Connections and curvature
- Chapter 11. Conformal and complex geometries
- Chapter 12. Morse theory and Hamiltonian formalism
- Chapter 13. Poisson and Lagrange manifolds
- Chapter 14. Multidimensional variational problems
- Chapter 15. Geometric fields in physics