## Jet Single-Time Lagrange Geometry and Its ApplicationsDevelops the theory of jet single-time Lagrange geometry and presents modern-day applications
The authors begin by presenting basic theoretical concepts that serve as the foundation for understanding how and why the discussed theory works. Subusequent chapters compare the geometrical and physical aspects of jet relativistic time-dependent Lagrange geometry to the classical time-dependent Lagrange geometry. A collection of jet geometrical objects are also examined such as d-tensors, relativistic time-dependent semisprays, harmonic curves, and nonlinear connections. Numerous applications, including the gravitational theory developed by both the Berwald-Moór metric and the Chernov metric, are also presented. Throughout the book, the authors offer numerous examples that illustrate how the theory is put into practice, and they also present numerous applications in which the solutions of first-order ordinary differential equation systems are regarded as harmonic curves on 1-jet spaces. In addition, numerous opportunities are provided for readers to gain skill in applying jet single-time Lagrange geometry to solve a wide range of problems. Extensively classroom-tested to ensure an accessible presentation, |

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Jet Single-Time Lagrange Geometry and Its Applications Vladimir Balan,Mircea Neagu Limited preview - 2011 |

Jet Single-Time Lagrange Geometry and Its Applications Vladimir Balan,Mircea Neagu Limited preview - 2011 |