Sequences of harmonic maps in the 3-sphere

Autor: Bart Dioos, Joeri Van der Veken, Luc Vrancken
Rok vydání: 2015
Předmět:
Zdroj: Mathematische Nachrichten. 288:2001-2015
ISSN: 0025-584X
DOI: 10.1002/mana.201400271
Popis: We define two transforms of non-conformal harmonic maps from a surface into the 3-sphere. With these transforms one can construct, from one such harmonic map, a sequence of harmonic maps. We show that there is a correspondence between harmonic maps into the 3-sphere, H-surfaces in Euclidean 3-space and almost complex surfaces in the nearly Kahler manifold . As a consequence we can construct sequences of H-surfaces and almost complex surfaces.
Databáze: OpenAIRE
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