Physical description 
1 online resource (xv, 194 pages) : illustrations 

polychrome rdacc 
Contents 
Front Matter  The Jet SingleTime Lagrange Geometry. Jet geometrical objects depending on a relativistic time  Deflection dtensor identities in the relativistic timedependent Lagrange geometry  Local Bianchi identities in the relativistic timedependent Lagrange geometry  The jet RiemannLagrange geometry of the relativistic timedependent Lagrange spaces  The jet singletime electrodynamics  Jet local singletime FinslerLagrange geometry for the rheonomic BerwaldM̤or metric of order three  Jet local singletime FinslerLagrange approach for the rheonomic BerwaldM̤or metric of order four  The jet local singletime FinslerLagrange geometry induced by the rheonomic Chernov metric of order four  Jet Finslerian geometry of the conformal Minkowski metric  Applications of the Jet SingleTime Lagrange Geometry. Geometrical objects produced by a nonlinear ODEs system of firstorder and a pair of Riemannian metrics  Jet singletime Lagrange geometry applied to the Lorenz atmospheric ODEs system  Jet singletime Lagrange geometry applied to evolution ODEs systems from Economy  Some evolution equations from Theoretical Biology and their singletime Lagrange geometrization on 1jet spaces  Jet geometrical objects produced by linear ODEs systems and higherorder ODEs  Jet singletime geometrical extension of the KCCinvariants  References  Index. 
Bibliography 
Includes bibliographical references and index. 
Summary 
"This book describes the main geometrical and physical aspects that differentiate two geometrical theories: the presented jet relativistic timedependent Lagrangian geometry and the classical timedependent 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 timedependent 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 MironAnastasiei theory. The extended geometrical Einstein equations that govern the jet singletime Lagrange gravitational theory are canonical, and the electromagnetic dtensor is produced from the metrical deflection dtensors, all preceding entities being derived only from the given jet Lagrangian via its attached Cartan canonical Gammalinear connection. The basic elements of the KosambiCartanChern theory on the 1jet space that extend the KCC tangent space approach are featured at the end of the book. Chapters are written in an introductory and gradual manner and contain numerous examples and open problems. An index of notions makes the main concepts of the theory and of the applications easy to locate" Provided by publisher. 
Notes 
Description based on print version record. 
Other author 
Neagu, Mircea, 1973


Wiley InterScience (Online service)

Subject 
Geometry, Differential.


Lagrange equations.


Field theory (Physics)


Electronic books. 

Electronic books. 
Standard Number 
9786613282866 
ISBN 
9781118143759 (electronic bk.) 

1118143752 (electronic bk.) 

9781118143766 (electronic bk.) 

1118143760 (electronic bk.) 

9781118127551 

1118127552 
