Two classes of slant surfaces in the nearly Kähler six sphere

K. Obrenovic ^[1] ; S. Vukmirovic ^[1]
1. [1] University of Belgrade
  
  University of Belgrade
  
  Serbia
Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 54, Nº. 2, 2013, págs. 111-121
Idioma: inglés
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Resumen
- In this paper we find examples of slant surfaces in the nearly Kähler six sphere. First, we characterize two-dimensional small and great spheres which are slant. Their description is given in terms of the associative 3-form in Im O. Later on, we classify the slant surfaces of S6 which are orbits of a maximal torus in G2. Among them we find a one parameter family of minimal orbits with arbitrary slant angle.