VI 3.7 Metrical N-linear connections 3.8 Gravitational and electromagnetic fields 3.9 The Lagrange space of electrodynamics 3.10 Generalized Lagrange spaces The geometry of cotangent bundle 4.1 The bundle (T*M,ir*,M) 4.2 The Poisson brackets. The Hamiltonian systems 4.3 Homogeneity 4.4 Nonlinear connections 4.5 Distinguished vector and covector fields 4.6 The almost product structure F. The metrical structure G. The almost complex structure IF 4.7 d-tensor algebra. N-linear connections 4.8 Torsion and curvature 4.9 The coefficients of an N-linear connection 4.10 The local expressions of d-tensors of torsion and curvature 4.11 Parallelism. Horizontal and vertical paths 4.12 Structure equations of an N-linear connection. Bianchi identities . . . Hamilton spaces 5.1 The spaces GH n 5.2 N-metrical connections i n 121 5.3 The N-lift of GH n 5.4 Hamilton spaces 5.5 Canonical nonlinear connection of the space H n 5.6 The canonical metrical connection of Hamilton space H n 5.7 Structure equations of CT(JV). Bianchi identities 5.8 Parallelism. Horizontal and vertical paths 5.9 The Hamilton spaces of electrodynamics 5.10 The almost Kählerian model of an Hamilton space Cartan spaces 6.1 The notion of Cartan space 6.2 Properties of the fundamental function K of Cartan space C n 6.3 Canonical nonlinear connection of a Cartan space 6.4 The canonical metrical connection 6.5 Structure equations. Bianchi identities 6.6 Special N-linear connections of Cartan space C n 6.7 Some special Cartan spaces 6.8 Parallelism in Cartan space. Horizontal and vertical paths VII 6.9 The almost Kählerian model of a Cartan space 7 The duality between Lagrange and Hamilton spaces 7.1 The Lagrange-Hamilton duality 7.2 -dual nonlinear connections 7.3 -du ald-connections 7.4 The Finsler-Cartan -duality 7.5 Berwald connection for Cartan spaces. Landsberg and Berwald spaces. Locally Minkowski spaces 7.6 Applications of the -duality 8 Symplectic transformations of the differential geometry of T*M 8.1 Connection-pairs on cotangent bundle 8.2 Special Linear Connections on T*M 8.3 The homogeneous case 8.4 f-related connection-pairs 8.5 f-related connections 8.6 The geometry of a homogeneous contact transformation 8.7 Examples 9 The dual bundle of a k-osculator bundle 9.1 The (T* k M,K* k ,M) bundle 9.2 The dual of the 2-osculator bundle 9.3 Dual semisprays on . 9.4 Homogeneity 9.5 Nonlinear connections 9.6 Distinguished vector and covector fields 9.7 Lie brackets. Exterior differentials 9.8 The almost product structure P. The almost contact structure . . . 9.9 The Riemannian structures on T* 2 M

No abstract

No abstract

No abstract

No abstract