Miroslava Antić

CR Submanifolds of the Nearly Kähler \(\mathbb {S}^3\times \mathbb {S}^3\) Characterised by Properties of the Almost Product Structure

In a previous paper (Antić et al., three-dimensional CR submanifolds of the nearly Kähler

4-dimensional minimal CR submanifolds of the sphere S6 satisfying Chen's equality

\mathbb {S}^{3}\times \mathbb {S}^{3}

4-dimensional minimal CR submanifolds of the sphere S6 contained in a totally geodesic sphere S5

S3×S3, 2017), the authors together with L. Vrancken initiated the study of 3-dimensional CR submanifolds of the nearly Kähler homogeneous

Sequences of minimal surfaces in S2n+1

\mathbb {S}^3\times \mathbb {S}^3

Characterization of Totally Geodesic Totally Real 3-dimensional Submanifolds in the 6-sphere

S3×S3. As is shown by Butruille, this is one of only four homogeneous 6-dimensional nearly Kähler manifolds. Besides its almost complex structure J, it also admits a canonical almost product structure P, see (Moruz and Vrancken, Publ Inst Math 2018) and (Bolton et al., Tôhoku Math J 67:1–17, 2015). Along a proper 3-dimensional CR submanifold, the tangent space of