TY  - BOOK
AU  - Fecko,Marián
ED  - Cambridge University Press.
TI  - Differential geometry and lie groups for physicists
SN  - 0521845076
AV  - QC20.7.D52 F43 2006
PY  - 2006///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Geometry, Differential
KW  - Lie groups
KW  - Mathematical physics
N1  - Includes bibliographical references (pages 685-686) and indexes; Introduction; 1. The concept of a manifold; 2. Vector and tensor fields; 3. Mappings of tensors induced by mappings of manifolds; 4. Lie derivative; 5. Exterior algebra; 6. Differential calculus of forms; 7. Integral calculus of forms; 8. Particular cases and applications of Stoke's Theorem; 9. Poincare; Lemma and cohomologies; 10. Lie Groups - basic facts; 11. Differential geometry of Lie Groups; 12. Representations of Lie Groups and Lie Algebras; 13. Actions of Lie Groups and Lie Algebras on manifolds; 14. Hamiltonian mechanics and symplectic manifolds; 15. Parallel transport and linear connection on M; 16. Field theory and the language of forms; 17. Differential geometry on TM and T*M; 18. Hamiltonian and Lagrangian equations; 19. Linear connection and the frame bundle; 20. Connection on a principal G-bundle; 21. Gauge theories and connections; 22. Spinor fields and Dirac operator; Appendices; Bibliography; Index
ER  -