Differential Geometry of Spray and Finsler Spaces

Abstract

Introduction. 1. Minkowski Spaces. 2. Finsler Spaces. 3. SODEs and Variational Problems. 4. Spray Spaces. 5. S-Curvature. 6. Non-Riemannian Quantities. 7. Connections. 8. Riemann Curvature. 9. Structure Equations of Sprays. 10. Structure Equations of Finsler Metrics. 11. Finsler Spaces of Scalar Curvature. 12. Projective Geometry. 13. Douglas Curvature and Weyl Curvature. 14. Exponential Maps. Bibliography. Index.