Continuous deformations of harmonic maps and their unitons

• It is known that any harmonic map of finite uniton number from a Riemann surface into U (n) can be deformed into a new harmonic map with an associated S1-invariant extended solution. We study this deformation in detail using operator-theoretic methods. In particular, we show that the corresponding unitons are real analytic functions of the deformation parameter, and that the deformation is closely related to the Bruhat decomposition of the corresponding extended solution.

Ämnesord

NATURVETENSKAP  -- Matematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics (hsv//eng)

Nyckelord

Blaschke–Potapov products

Bruhat decomposition

Extended solutions

Harmonic maps

Shift-invariant subspaces

Unitons

Publikations- och innehållstyp

art (ämneskategori)

ref (ämneskategori)