A Guide To Lie Systems With Compatible Geometric Structures

by Javier De Lucas Araujo, Cristina Sardon Munoz

Overview

The book presents a comprehensive guide to the study of Lie systems from the fundamentals of differential geometry to the development of contemporary research topics. It embraces several basic topics on differential geometry and the study of geometric structures while developing known applications in the theory of Lie systems. The book also includes a brief exploration of the applications of Lie systems to superequations, discrete systems, and partial differential equations.Offering a complete overview from the topic's foundations to the present, this book is an ideal resource for Physics and Mathematics students, doctoral students and researchers.

Product Details

ISBN-13:	9781786346971
Publisher:	World Scientific Publishing Europe Ltd
Publication date:	02/13/2020
Pages:	424
Product dimensions:	6.00(w) x 9.00(h) x 0.94(d)

Table of Contents

Introduction; General Aspects on Lie Systems and Geometric Structures; Geometric Fundamentals; Basics on Lie Systems and Superposition Rules; Lie–Hamilton Systems; Dirac–Lie Systems; Dirac–Lie Systems and Schwarzian KdV Equations; k-symplectic Lie Systems; Conformal and Killing Lie Algebras on the Plane; Lie Symmetry for Differential Equations; Appendix 1: Tables; Bibliography