2007/11/13 by Mehdi Nadjafikhah, Nadjafikhah, Mehdi, Ali Mahdipour Shirayeh +1
Mathematics · Physics and Astronomy · #53A55 #54H15 #83C40.` #Action (physics) #Advanced Differential Geometry Research #Astronomy #Black Holes and Theoretical Physics #Classical mechanics #Computer science #Equivalence (formal languages) #FOS: Physical sciences #Galilean #Galilean invariance #Galilean moons #Galilean transformation #Geometric Analysis and Curvature Flows #Geometry #Group (periodic table) #Homogeneous space #Mathematical Physics (math-ph) #Mathematical analysis #Mathematical physics #Mathematics #Physics #Pure mathematics #Quantum mechanics #Solar System #Space (punctuation) #State space #Statistics #math-ph #math.MP #msc:53A55 #msc:54H15
paper · pdf · doi:10.48550/arxiv.0711.1979
10 pages
arxiv created 2007/11/13 · openalex publication_date 2007/11/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this paper, we classify space-time curves up to Galilean group of transformations with Cartan's method of equivalence. As an aim, we elicit invariats from action of special Galilean group on space-time curves, that are, in fact, conservation laws in physics. We also state a necessary and sufficient condition for equivalent Galilean motions.