• Daneshyari
  • Topics
    • Physical Sciences and Engineering
      Life Sciences
      Health Sciences
      Social Sciences and Humanities
Physical Sciences and Engineering Mathematics Mathematics (General)

A loop group method for affine harmonic maps into Lie groups

Article ID Journal Published Year Pages File Type
6425227 Advances in Mathematics 2016 47 Pages PDF
Abstract

We generalize the Uhlenbeck-Segal theory for harmonic maps into compact semi-simple Lie groups to general Lie groups equipped with torsion free bi-invariant connection.

Keywords
22E2558E2022E6553C43primarysecondaryHarmonic mapLie groupSolvable Lie groups
Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
Preview
A loop group method for affine harmonic maps into Lie groups
Authors
Josef F. Dorfmeister, Jun-ichi Inoguchi, Shimpei Kobayashi,
Related Articles
Schubert polynomials, slide polynomials, Stanley symmetric functions and quasi-Yamanouchi pipe dreams
Decay of eigenfunctions of elliptic PDE's, II
Stochastic completeness for graphs with curvature dimension conditions
Pfaffian systems of A-hypergeometric equations I: Bases of twisted cohomology groups
The other dual of MacMahon's theorem on plane partitions
Rates of mixing for the Weil–Petersson geodesic flow I: No rapid mixing in non-exceptional moduli spaces
Positive topological entropy and Δ-weakly mixing sets
On the conjecture OO of GGI for G/P
Chow ring of generically twisted varieties of complete flags
Effective motives with and without transfers in characteristic p
Journal
Advances in Mathematics
Journal: Advances in Mathematics
Related Categories
22E25
58E20
22E65
53C43
primary
secondary
Harmonic map
Lie group
Solvable Lie groups
Algebra and Number Theory
Analysis
Applied Mathematics
Computational Mathematics
Control and Optimization
Discrete Mathematics and Combinatorics
Geometry and Topology
Logic
Mathematical Physics
Mathematics (General)
Modelling and Simulation
Numerical Analysis
Statistics and Probability
Theoretical Computer Science
Related Journals
New Scientist
Nonlinear Analysis: Real World Applications
Nonlinear Analysis: Theory, Methods & Applications
Stochastic Processes and their Applications
Historia Mathematica
Journal of Taibah University for Science
Journal de Mathématiques Pures et Appliquées
Acta Mathematica Scientia
Annales Scientifiques de l'École Normale Supérieure
Arab Journal of Mathematical Sciences
Bulletin des Sciences Mathématiques
Comptes Rendus Mathematique
Indagationes Mathematicae
Daneshyari provides fulltext access to millions of research papers.