BooksirmaCollected VolumeSophus Lie and Felix Klein: The Erlangen Program and Its Impact in Mathematics and PhysicsEditorsLizhen JiUniversity of Michigan, Ann Arbor, USAAthanase PapadopoulosUniversité de Strasbourg, FranceOverviewContentsBuy from $64.00Download PDFA subscription is required to access this book.pp. 1–26Sophus Lie, a giant in mathematicsLizhen Jipp. 27–58Felix Klein: his life and mathematicsLizhen Jipp. 59–75Klein and the Erlangen ProgrammeJeremy J. Graypp. 77–90Klein’s “Erlanger Programm”: do traces of it exist in physical theories?Hubert Goennerpp. 91–136On Klein’s <i>So-called Non-Euclidean geometry</i>Norbert A’CampoAthanase Papadopoulospp. 137–190What are symmetries of PDEs and what are PDEs themselves?Alexandre Vinogradovpp. 191–216Transformation groups in non-Riemannian geometryCharles Francespp. 217–235Transitional geometryNorbert A’CampoAthanase Papadopoulospp. 237–245On the projective geometry of constant curvature spacesAthanase PapadopoulosSumio Yamadapp. 247–281The Erlangen program and discrete differential geometryYuri B. Surispp. 283–306Three-dimensional gravity – an application of Felix Klein’s ideas in physicsCatherine Meusburgerpp. 307–324Invariances in physics and group theoryJean-Bernard Zuber
pp. 283–306Three-dimensional gravity – an application of Felix Klein’s ideas in physicsCatherine Meusburger
