The Birth of Lie's Theory of Groups

Hawkins, Thomas
March 1994
Mathematical Intelligencer;Spring94, Vol. 16 Issue 2, p6
Academic Journal
Features mathematician Sophus Lie and his works on geometry and theory of first-order partial differential equations. Work on tetrahedral line complexes with mathematician Felix Klein; Discovery of a line-to-sphere mapping; Jacobi's Problem.


Related Articles

  • HARMONICITY AND SUBMANIFOLD MAPS. Udriste, Constantin; Arsinte, Vasile; Bejenaru, Andreea // Journal of Advanced Mathematical Studies;Feb2012, Vol. 5 Issue 1, p48 

    The aim of this paper is fourfold. Firstly, we introduce and study the fultra-harmonic maps. Secondly, we recall the geometric dynamics generated by a first order normal PDE system and we give original results regarding the geometric dynamics generated by other first order PDE systems. Thirdly,...

  • THE CRITICAL CASE FOR A SEMILINEAR WEAKLY HYPERBOLIC EQUATION. Fanelli, Luca; Lucente, Sandra // Electronic Journal of Differential Equations;2004, Vol. 2004, p1 

    We prove a global existence result for the Cauchy problem, in the three-dimensional space, associated with the equation utt - aλ(t)Δxu = -u|u|p(λ)-1 where aλ(t) ≥ 0 and behaves as (t - t0)λ close to some t0 > 0 with a(t0) = 0, and p(λ) = (3λ + 10) / (3λ + 2) with 3...

  • Sophus Lie. Baas, Nils A. // Mathematical Intelligencer;Winter94, Vol. 16 Issue 1, p16 

    Presents a biography of mathematician Sophus Lie. Difficulty in giving of an account of a mathematician's work; Birth; Educational background; Introduction to modern geometry; Physical strength; Theory of transformation; Professorship in Leipzig; Health problems; Return to Norway; Death;...

  • Coefficient Estimates and Landau-Bloch's Constant for Planar Harmonic Mappings. CHEN, SH.; PONNUSAMY, S.; WANG, X. // Bulletin of the Malaysian Mathematical Sciences Society;2011, Vol. 34 Issue 2, p255 

    The aim of this paper is to study the properties of planar harmonic mappings. The main results are as follows. First, by using the subordination of analytic functions, a sharp coefficient estimate is obtained and several applications are given. Then two results about Landau-Bloch's constant are...

  • Common periodic trajectories of two mappings. Matviichuk, M. // Ukrainian Mathematical Journal;Jul2008, Vol. 60 Issue 7, p1099 

    For a mapping f ? C r ( I, I), r = 0, we consider the problem of the existence of a mapping close to it that has periodic trajectories of given periods in common with f.

  • Construction of limiting process operations using ultrafilters of measurable spaces. Chentsov, A. // Automation & Remote Control;Nov2007, Vol. 68 Issue 11, p2083 

    Consideration is given to representations of limiting process operations in terms of ultrafilters of measurable spaces and in terms of (0,1)-measures generated by these ultrafilters. Properties that are specified by the existence of non-Dirac countably additive (0,1)-measures and have the sense...

  • The Beltrami equations for quasiconformal mappings on strongly pseudoconvex hypersurfaces. Wu, Q.; Wang, W. // Siberian Mathematical Journal;Mar2012, Vol. 53 Issue 2, p316 

    We show that quasiconformal mappings on strongly pseudoconvex hypersurfaces satisfy a system of Beltrami equations. In particular, the 1-quasiconformal mappings on these surfaces are CR or anti-CR mappings. Furthermore, if these surfaces are also real-analytic and nonspherical, then...

  • Modified iteration methods based on the Asymmetric HSS for weakly nonlinear systems. Mu-Zheng Zhu // Journal of Computational Analysis & Applications;Jan2013, Vol. 15 Issue 1, p188 

    For the large sparse systems of weakly nonlinear equations, we establish the Picard-AHSS and nonlinear AHSS-like methods in reference [M.-Z. Zhu. On asymmetric Hermitian and skew-Hermitian splitting iteration methods for weakly nonlinear systems. Journal of Computational Analysis and...

  • Projective BGG equations, algebraic sets, and compactifications of Einstein geometries. Čap, A.; Gover, A. R.; Hammer, M. // Journal of the London Mathematical Society;Oct2012, Vol. 86 Issue 2, p433 

    For curved projective manifolds, we introduce a notion of a normal tractor frame field, based around any point. This leads to canonical systems of (redundant) coordinates that generalize the usual homogeneous coordinates on projective space. These give preferred local maps to the model...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics