Two Classes of Slant Surfaces in the Nearly Kähler Six Sphere

نویسنده

  • K. OBRENOVIĆ
چکیده

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 ImO. 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.

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تاریخ انتشار 2013