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Ruled three dimensional CR submanifolds of the sphere \(\mathbf{S}^6(1)\). (English) Zbl 1474.53086

Summary: We investigate proper, three dimensional CR submanifolds of the nearly Kähler sphere \(\mathbf{S}^6(1)\) ruled by totally geodesic spheres \(\mathbf{S}^2(1)\), and classify them by using a sphere curve and a vector field along that curve.

MSC:

53B25 Local submanifolds
53C42 Differential geometry of immersions (minimal, prescribed curvature, tight, etc.)
53C40 Global submanifolds
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