ÍNDICE: Preface. Part I. The Jet Single-Time Lagrange Geometry. 1. Jet geometrical objects depending on a relativistic time. 1.1 d-Tensors on the 1-jet space J1(R, M). 1.2 Relativistic time-dependent semispra0ys. Harmonic curves. 1.3 Jet nonlinear connection. Adapted bases. 1.4 Relativistic time-dependent and jet nonlinear connections. 2. Deflection d-tensor identities in the relativistic time-dependent Lagrange geometry. 2.1 The adapted components of jet G-linear connections. 2.2 Local torsion and curvature d-tensors. 2.3 Local Ricci identities and nonmetrical deflection d-tensors. 3. Local Bianchi identities in the relativistic time-dependent Lagrange geometry. 3.1 The adapted components of h-normal G-linear connections. 3.2 Deflection d-tensor identities and localBianchi identities for d-connections of Cartan type, 4. The jet Riemann-Lagrange geometry of the relativistic time-dependent Lagrange spaces. 4.1 Relativistic time-dependent Lagrange spaces. 4.2 The canonical nonlinear connection. 4.3 The Cartan canonical metrical linear connection. 4.4 Relativistic time-dependent Lagrangian electromagnetism. 4.5 Jet relativistic time-dependent Lagrangian gravitational theory. 5. The jet single-time electrodynamics. 5.1 Riemann-Lagrange geometry on the jet single-time Lagrange space of electrodynamics ?DL1. 5.2 Geometrical Maxwell equations of ?DL1. 5.3 Geometrical Einstein equations on ?DL1. 6. Jet local single-time Finsler-Lagrange geometry for the rheonomic Berwald-Moór metric of order three. 6.1 Preliminary notations and formulas. 6.2 The rheonomic Berwald-Moór metric of order three. 6.3 Cartan canonical linear connection. D-Torsions and d-curvatures. 6.4 Geometrical field theories produced by the rheonomic Berwald-Moór metric of order three. 7. Jet local single-time Finsler-Lagrange approach for the rheonomic Berwald-Moór metric of order four. 7.1 Preliminary notations and formulas. 7.2 The rheonomic Berwald-Moór metric of order four. 7.3 Cartan canonical linear connection. D-Torsions and d-curvatures. 7.4 Geometrical gravitational theory produced by the rheonomicBerwald-Moór metric of order four. 7.5 Some physical remarks and comments. 7.6 Geometric dynamics of plasma in jet spaces with rheonomic Berwald-Moór metric of order four. 8. The jet local single-time Finsler-Lagrange geometry induced by the rheonomic Chernov metric of order four. 8.1 Preliminary notations andformulas. 8.2 The rheonomic Chernov metric of order four. 8.3 Cartan canonical linear connection. D-Torsions and d-curvatures. 8.4 Applications of the rheonomic Chernov metric of order four. 9. Jet Finslerian geometry of the conformal Minkowski metric. 9.1 Introduction. 9.2 The canonical nonlinear connection of the model. 9.3 Cartan canonical linear connection, d-torsions and d-curvatures. 9.4 Geometrical field model produced by the jet conformal Minkowski metric. Part II. Applications of the Jet Single-Time Lagrange Geometry. 10. Geometrical objects produced by a nonlinear ODEs system
- ISBN: 978-1-1181-2755-1
- Editorial: John Wiley & Sons
- Encuadernacion: Cartoné
- Páginas: 224
- Fecha Publicación: 02/09/2011
- Nº Volúmenes: 1
- Idioma: Inglés