Balan / Neagu Jet Single-Time Lagrange Geometry and Its Applications

1. Auflage 2011
ISBN: 978-1-118-14376-6
Verlag: John Wiley & Sons
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 216 Seiten, E-Book

Develops the theory of jet single-time Lagrange geometry andpresents modern-day applications
Jet Single-Time Lagrange Geometry and Its Applicationsguides readers through the advantages of jet single-time Lagrangegeometry for geometrical modeling. With comprehensive chapters thatoutline topics ranging in complexity from basic to advanced, thebook explores current and emerging applications across a broadrange of fields, including mathematics, theoretical and atmosphericphysics, economics, and theoretical biology.
The authors begin by presenting basic theoretical concepts thatserve as the foundation for understanding how and why the discussedtheory works. Subusequent chapters compare the geometrical andphysical aspects of jet relativistic time-dependent Lagrangegeometry to the classical time-dependent Lagrange geometry. Acollection of jet geometrical objects are also examined such asd-tensors, relativistic time-dependent semisprays, harmonic curves,and nonlinear connections. Numerous applications, including thegravitational theory developed by both the Berwald-Moór metricand the Chernov metric, are also presented.
Throughout the book, the authors offer numerous examples thatillustrate how the theory is put into practice, and they alsopresent numerous applications in which the solutions of first-orderordinary differential equation systems are regarded as harmoniccurves on 1-jet spaces. In addition, numerous opportunities areprovided for readers to gain skill in applying jet single-timeLagrange geometry to solve a wide range of problems.
Extensively classroom-tested to ensure an accessiblepresentation, Jet Single-Time Lagrange Geometry and ItsApplications is an excellent book for courses on differentialgeometry, relativity theory, and mathematical models at thegraduate level. The book also serves as an excellent reference forresearchers, professionals, and academics in physics, biology,mathematics, and economics who would like to learn more aboutmodel-providing geometric structures.

Autoren/Hrsg.

Balan, Vladimir

Neagu, Mircea

Über Autor(innen)

VLADIMIR BALAN, PhD, is Professor in the Department ofMathematics and Informatics at the University Politehnica ofBucharest, Romania. He has published extensively in his areas ofresearch interest, which include harmonic maps, variationalproblems in fiber bundles, and generalized gauge theory and itsapplications in mechanics and mathematical physics.
MIRCEA NEAGU, PhD, is Assistant Professor in theDepartment of Algebra, Geometry, and Differential Equations at theTransilvania University of Bra¿¿ov, Romania. He is theauthor of more than thirty-five journal articles on jetRiemann-Lagrange geometry and its applications.