Flat Almost Complex Surfaces in the Homogeneous Nearly Kähler $${\varvec{S}}^\mathbf{3}\varvec{\times } {\varvec{S}}^\mathbf{3}$$ S 3 × S 3

Autor: Luc Vrancken, Bart Dioos, Haizhong Li, Hui Ma
Rok vydání: 2018
Předmět:
Zdroj: Results in Mathematics. 73
ISSN: 1420-9012
1422-6383
DOI: 10.1007/s00025-018-0784-y
Popis: By employing a nice adapted frame we prove a Bonnet-type existence and uniqueness theorem for almost complex surfaces in the homogeneous nearly Kahler manifold $$S^3\times S^3$$ . The proof uses a local correspondence between almost complex surfaces in $$S^3\times S^3$$ and surfaces in $$\mathbb {R}^3$$ that satisfy the Wente H-surface equation. Furthermore we give a complete classification of flat almost complex surfaces in the homogeneous nearly Kahler $$S^3\times S^3$$ .
Databáze: OpenAIRE
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