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Continuous deformat...
Continuous deformations of harmonic maps and their unitons
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- Aleman, Alexandru (författare)
- Lund University,Lunds universitet,Matematik (naturvetenskapliga fakulteten),Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Mathematics (Faculty of Sciences),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH
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- Martín, María J. (författare)
- Autonomous University of Madrid
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- Persson, Anna Maria (författare)
- Lund University,Lunds universitet,Matematik (naturvetenskapliga fakulteten),Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Mathematics (Faculty of Sciences),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH
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- Svensson, Martin (författare)
- University of Southern Denmark
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(creator_code:org_t)
- 2019-01-28
- 2019
- Engelska.
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Ingår i: Monatshefte fur Mathematik. - : Springer Science and Business Media LLC. - 0026-9255 .- 1436-5081.
- Relaterad länk:
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http://dx.doi.org/10...
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https://arxiv.org/pd...
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https://lup.lub.lu.s...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- 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)
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