A class of slant surfaces of the nearly Kahler $S^3\times S^3$

Abstract

We investigate slant surfaces of the nearly Kähler $S^3\times S^3$ which are orbits of isometric actions, classify them and show that for a prescribed angle there exists corresponding slant surface. Also, amongst them, we find the totally geodesic ones.

Keywords

• slant submanifolds,nearly Kähler $S^3\times S^3$,orbit manifolds

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