BACKLUND-TRANSFORMATIONS FOR HARMONIC MAPS IN 2 INDEPENDENT VARIABLES

Date

1994-06-01

Author

BASKAL, S
ERIS, A

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

167
views

0
downloads

Backlund transformations for harmonic maps are described as the action of the structure group on harmonic one-forms or as gauge transformations of the soliton connection constructed via embedding the configuration manifold into a flat space. As an illustration, Baicklund transformations for maps from M2 to the Poincare upper half-plane and for maps determining stationary vacuum gravitational fields with axial symmetry are obtained.

Subject Keywords

Physics and Astronomy (miscellaneous), General Mathematics

URI

https://hdl.handle.net/11511/66016

Journal

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS

DOI

https://doi.org/10.1007/bf00670799

Collections

Department of Physics, Article

Suggestions

OpenMETU
Core

Spherically symmetric solutions of Einstein plus non-polynomial gravities Deser, S.; Sarıoğlu, Bahtiyar Özgür; Tekin, Bayram (Springer Science and Business Media LLC, 2008-01-01) We obtain the static spherically symmetric solutions of a class of gravitational models whose additions to the General Relativity (GR) action forbid Ricci-flat, in particular, Schwarzschild geometries. These theories are selected to maintain the (first) derivative order of the Einstein equations in Schwarzschild gauge. Generically, the solutions exhibit both horizons and a singularity at the origin, except for one model that forbids spherical symmetry altogether. Extensions to arbitrary dimension with a cos...
Time Dependence of Joint Entropy of Oscillating Quantum Systems ÖZCAN, ÖZGÜR; Akturk, Ethem; Sever, Ramazan (Springer Science and Business Media LLC, 2008-12-01) The time dependent entropy (or Leipnik's entropy) of harmonic and damped harmonic oscillator systems is studied by using time dependent wave function obtained by the Feynman path integral method. The Leipnik entropy and its envelope change as a function of time, angular frequency and damping factor. Our results for simple harmonic oscillator are in agreement with the literature. However, the joint entropy of damped harmonic oscillator shows remarkable discontinuity with time for certain values of damping fa...
Singular potentials and moving boundaries in 3D Yuce, C (Elsevier BV, 2004-02-16) In this Letter, the problem of a spinless particle under the time-dependent harmonic oscillator potential and a singular potential with a moving boundary is studied in the spherical coordinates. Some transformations are used to transform the moving boundary conditions to the fixed boundary conditions. An exact solution is constructed.
Unified treatment of spacelike and timelike SO(3,1) Yang-Mills fields Dundarer, AR (Springer Science and Business Media LLC, 2001-07-01) SO(3, 1) valued Yang-mills fields stemming from spacelike and timelike vectors that were studied separately in earlier works are unified by introducing a parameter lambda that takes values in the interval [-1, 1].
WEYL INVARIANT TENSORS IN ODD DIMENSIONS DERELI, T; MUKHERJEE, M; TUCKER, RW (IOP Publishing, 1988-01-01) A set of symmetric, traceless, divergence-free differential forms, Weyl covariant under a conformal scaling of a (pseudo-)Riemannian metric, is constructed in 4n-1 dimensions.

Citation Formats

S. BASKAL and A. ERIS, “BACKLUND-TRANSFORMATIONS FOR HARMONIC MAPS IN 2 INDEPENDENT VARIABLES,” INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, pp. 1371–1382, 1994, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/66016.