科图分类法:	O413.3 版次：
中图分类法:	O413.3 版次：
著者:	Balan, Vladimir,
题名:	Jet single-time Lagrange geometry and its applications / / ,
出版发行:	出版地： Hoboken, N.J. : 出版社： John Wiley & Sons, 出版日期： c2011.
载体形态:	xv, 194 p. : ill. ; 25 cm.
内容提要:	"This book describes the main geometrical and physical aspects that differentiate two geometrical theories: the presented jet relativistic time-dependent Lagrangian geometry and the classical time-dependent Lagrangian geometry. An emphasis on the jet transformation group of the first approach is more general and natural than the transformation group used in the second approach, mainly due to the fact that the last approach ignores temporal reparametrizations. In addition, the presented transformation group is appropriate for the construction of corresponding relativistic time-dependent Lagrangian geometrical field theories (gravitational and electromagnetic). The developed theory is further illustrated with numerous applications in mathematics, theoretical physics (including electrodynamics, relativity, and electromagnetism), atmospheric physics, economics, and theoretical biology. The geometrical Maxwell and Einstein equations presented in the book naturally generalize the already classical Maxwell and Einstein equations from the Miron-Anastasiei theory. The extended geometrical Einstein equations that govern the jet single-time Lagrange gravitational theory are canonical, and the electromagnetic d-tensor is produced from the metrical deflection d-tensors, all preceding entities being derived only from the given jet Lagrangian via its attached Cartan canonical Gamma-