Particles with curvature and torsion in three-dimensional pseudo-Riemannian space forms期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

Particles with curvature and torsion in three-dimensional pseudo-Riemannian space forms

Institution:	1. Departamento de Matemáticas, Universidad de Murcia, Campus de Espinardo, 30100 Murcia, Spain;2. Departamento de Matemática Aplicada, Universidad de Murcia, Campus de Espinardo, 30100 Murcia, Spain;3. Departamento de Matemática, Instituto de Matemática e Estatística, Universidade de São Paulo, Rua do Matão 1010, CEP 05508-900, São Paulo, SP, Brazil;1. Department of Mathematics and Statistics, Simmons University, 300 The Fenway, Boston, MA, 02115, United States of America;2. Department of Mathematics and Statistics, Amherst College, Amherst, MA, 01002, United States of America;1. Institute of Mathematics, University of Debrecen, H-4032 Debrecen, Egyetem tér 1, Hungary;2. Institute of Applied Mathematics, Óbuda University, H-1034 Budapest, Bécsi út 96/b, Hungary

Abstract:	We consider the motion of relativistic particles described by an action which is a function of the curvature and torsion of the particle path. The Euler–Lagrange equations and the dynamical constants of the motion are expressed in a simple way in terms of a suitable coordinate system. The moduli spaces of solutions in a three-dimensional pseudo-Riemannian space form are completely exhibited.

Keywords:
本文献已被 ScienceDirect 等数据库收录！